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  Subjects -> ENGINEERING (Total: 2281 journals)
    - CHEMICAL ENGINEERING (192 journals)
    - CIVIL ENGINEERING (186 journals)
    - ELECTRICAL ENGINEERING (102 journals)
    - ENGINEERING (1203 journals)
    - ENGINEERING MECHANICS AND MATERIALS (385 journals)
    - HYDRAULIC ENGINEERING (55 journals)
    - INDUSTRIAL ENGINEERING (68 journals)
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CIVIL ENGINEERING (186 journals)                     

Showing 1 - 186 of 186 Journals sorted alphabetically
ACI Structural Journal     Full-text available via subscription   (Followers: 17)
Acta Polytechnica : Journal of Advanced Engineering     Open Access   (Followers: 2)
Acta Structilia : Journal for the Physical and Development Sciences     Open Access   (Followers: 2)
Advances in Civil Engineering     Open Access   (Followers: 34)
Advances in Structural Engineering     Full-text available via subscription   (Followers: 27)
Ambiente Construído     Open Access   (Followers: 1)
American Journal of Civil Engineering and Architecture     Open Access   (Followers: 30)
Architectural Engineering     Open Access   (Followers: 4)
Archives of Civil and Mechanical Engineering     Full-text available via subscription   (Followers: 1)
Archives of Civil Engineering     Open Access   (Followers: 10)
Archives of Hydro-Engineering and Environmental Mechanics     Open Access   (Followers: 1)
ATBU Journal of Environmental Technology     Open Access   (Followers: 3)
Australian Journal of Structural Engineering     Full-text available via subscription   (Followers: 6)
Baltic Journal of Road and Bridge Engineering     Full-text available via subscription   (Followers: 1)
BER : Building and Construction : Full Survey     Full-text available via subscription   (Followers: 9)
BER : Building Contractors' Survey     Full-text available via subscription   (Followers: 4)
BER : Building Sub-Contractors' Survey     Full-text available via subscription   (Followers: 3)
BER : Survey of Business Conditions in Building and Construction : An Executive Summary     Full-text available via subscription   (Followers: 4)
Berkeley Planning Journal     Open Access   (Followers: 7)
Bioinspired Materials     Open Access   (Followers: 5)
Bridge Structures : Assessment, Design and Construction     Hybrid Journal   (Followers: 15)
Building and Environment     Hybrid Journal   (Followers: 15)
Building Women     Full-text available via subscription  
Built Environment Project and Asset Management     Hybrid Journal   (Followers: 15)
Bulletin of Pridniprovsk State Academy of Civil Engineering and Architecture     Open Access   (Followers: 6)
Canadian Journal of Civil Engineering     Hybrid Journal   (Followers: 11)
Case Studies in Engineering Failure Analysis     Open Access   (Followers: 8)
Case Studies in Nondestructive Testing and Evaluation     Open Access   (Followers: 10)
Case Studies in Structural Engineering     Open Access   (Followers: 9)
Cement and Concrete Composites     Hybrid Journal   (Followers: 17)
Challenge Journal of Concrete Research Letters     Open Access   (Followers: 2)
Challenge Journal of Structural Mechanics     Open Access   (Followers: 5)
Change Over Time     Full-text available via subscription   (Followers: 2)
Civil and Environmental Engineering     Open Access   (Followers: 7)
Civil And Environmental Engineering Reports     Open Access   (Followers: 5)
Civil and Environmental Research     Open Access   (Followers: 19)
Civil Engineering = Siviele Ingenieurswese     Full-text available via subscription   (Followers: 4)
Civil Engineering and Architecture     Open Access   (Followers: 17)
Civil Engineering and Environmental Systems     Hybrid Journal   (Followers: 3)
Civil Engineering and Technology     Open Access   (Followers: 9)
Civil Engineering Dimension     Open Access   (Followers: 8)
Cohesion and Structure     Full-text available via subscription   (Followers: 2)
Composite Structures     Hybrid Journal   (Followers: 257)
Computer-aided Civil and Infrastructure Engineering     Hybrid Journal   (Followers: 10)
Computers & Structures     Hybrid Journal   (Followers: 36)
Concrete Research Letters     Open Access   (Followers: 6)
Construction Economics and Building     Open Access   (Followers: 2)
Construction Engineering     Open Access   (Followers: 8)
Construction Management and Economics     Hybrid Journal   (Followers: 21)
Construction Science     Open Access   (Followers: 4)
Constructive Approximation     Hybrid Journal  
Curved and Layered Structures     Open Access   (Followers: 2)
DFI Journal : The Journal of the Deep Foundations Institute     Hybrid Journal   (Followers: 1)
Earthquake Engineering and Structural Dynamics     Hybrid Journal   (Followers: 16)
Enfoque UTE     Open Access   (Followers: 4)
Engineering Project Organization Journal     Hybrid Journal   (Followers: 7)
Engineering Structures     Hybrid Journal   (Followers: 13)
Engineering Structures and Technologies     Hybrid Journal   (Followers: 2)
Engineering, Construction and Architectural Management     Hybrid Journal   (Followers: 14)
Environmental Geotechnics     Hybrid Journal   (Followers: 5)
European Journal of Environmental and Civil Engineering     Hybrid Journal   (Followers: 8)
Fatigue & Fracture of Engineering Materials and Structures     Hybrid Journal   (Followers: 16)
Frattura ed Integrità Strutturale : Fracture and Structural Integrity     Open Access  
Frontiers in Built Environment     Open Access  
Frontiers of Structural and Civil Engineering     Hybrid Journal   (Followers: 6)
Geomaterials     Open Access   (Followers: 4)
Geosystem Engineering     Hybrid Journal   (Followers: 1)
Geotechnik     Hybrid Journal   (Followers: 3)
Géotechnique Letters     Hybrid Journal   (Followers: 6)
HBRC Journal     Open Access   (Followers: 2)
Hormigón y Acero     Full-text available via subscription  
HVAC&R Research     Hybrid Journal  
Indoor and Built Environment     Hybrid Journal   (Followers: 2)
Infrastructure Asset Management     Hybrid Journal   (Followers: 2)
Infrastructures     Open Access  
Ingenio Magno     Open Access   (Followers: 1)
Insight - Non-Destructive Testing and Condition Monitoring     Full-text available via subscription   (Followers: 22)
International Journal for Service Learning in Engineering     Open Access  
International Journal of 3-D Information Modeling     Full-text available via subscription   (Followers: 3)
International Journal of Advanced Structural Engineering     Open Access   (Followers: 16)
International Journal of Civil, Mechanical and Energy Science     Open Access   (Followers: 1)
International Journal of Concrete Structures and Materials     Open Access   (Followers: 13)
International Journal of Condition Monitoring     Full-text available via subscription   (Followers: 2)
International Journal of Construction Engineering and Management     Open Access   (Followers: 8)
International Journal of Geo-Engineering     Open Access   (Followers: 3)
International Journal of Geosynthetics and Ground Engineering     Full-text available via subscription   (Followers: 4)
International Journal of Masonry Research and Innovation     Hybrid Journal   (Followers: 1)
International Journal of Pavement Research and Technology     Open Access   (Followers: 4)
International Journal of Protective Structures     Hybrid Journal   (Followers: 6)
International Journal of Steel Structures     Hybrid Journal   (Followers: 2)
International Journal of Structural Engineering     Hybrid Journal   (Followers: 10)
International Journal of Structural Integrity     Hybrid Journal   (Followers: 2)
International Journal of Structural Stability and Dynamics     Hybrid Journal   (Followers: 7)
International Journal of Sustainable Built Environment     Open Access   (Followers: 4)
International Journal of Sustainable Construction Engineering and Technology     Open Access   (Followers: 8)
International Journal on Pavement Engineering & Asphalt Technology     Open Access   (Followers: 6)
International Journal Sustainable Construction & Design     Open Access  
Journal of Bridge Engineering     Full-text available via subscription   (Followers: 15)
Journal of Building Engineering     Hybrid Journal   (Followers: 1)
Journal of Building Materials and Structures     Open Access   (Followers: 2)
Journal of Building Performance Simulation     Hybrid Journal   (Followers: 6)
Journal of Civil Engineering and Construction Technology     Open Access   (Followers: 11)
Journal of Civil Engineering and Management     Hybrid Journal   (Followers: 7)
Journal of Civil Engineering and Science     Open Access   (Followers: 7)
Journal of Civil Engineering Research     Open Access   (Followers: 6)
Journal of Civil Society     Hybrid Journal   (Followers: 3)
Journal of Civil Structural Health Monitoring     Hybrid Journal   (Followers: 4)
Journal of Composites for Construction     Full-text available via subscription   (Followers: 13)
Journal of Computing in Civil Engineering     Full-text available via subscription   (Followers: 24)
Journal of Construction Engineering     Open Access   (Followers: 7)
Journal of Construction Engineering and Management     Full-text available via subscription   (Followers: 19)
Journal of Construction Engineering, Technology & Management     Full-text available via subscription   (Followers: 4)
Journal of Constructional Steel Research     Hybrid Journal   (Followers: 8)
Journal of Earth Sciences and Geotechnical Engineering     Open Access   (Followers: 4)
Journal of Fluids and Structures     Hybrid Journal   (Followers: 6)
Journal of Frontiers in Construction Engineering     Open Access   (Followers: 2)
Journal of Green Building     Full-text available via subscription   (Followers: 11)
Journal of Highway and Transportation Research and Development (English Edition)     Full-text available via subscription   (Followers: 12)
Journal of Infrastructure Systems     Full-text available via subscription   (Followers: 21)
Journal of Legal Affairs and Dispute Resolution in Engineering and Construction     Full-text available via subscription   (Followers: 5)
Journal of Marine Science and Engineering     Open Access   (Followers: 1)
Journal of Materials and Engineering Structures     Open Access   (Followers: 4)
Journal of Materials in Civil Engineering     Full-text available via subscription   (Followers: 10)
Journal of Nondestructive Evaluation     Hybrid Journal   (Followers: 11)
Journal of Offshore Structure and Technology     Full-text available via subscription  
Journal of Performance of Constructed Facilities     Full-text available via subscription   (Followers: 4)
Journal of Pipeline Systems Engineering and Practice     Full-text available via subscription   (Followers: 7)
Journal of Rehabilitation in Civil Engineering     Open Access   (Followers: 3)
Journal of Solid Waste Technology and Management     Full-text available via subscription   (Followers: 1)
Journal of Structural Engineering     Full-text available via subscription   (Followers: 39)
Journal of Structural Fire Engineering     Full-text available via subscription   (Followers: 6)
Journal of Sustainable Architecture and Civil Engineering     Open Access   (Followers: 3)
Journal of Sustainable Design and Applied Research in Innovative Engineering of the Built Environment     Open Access   (Followers: 1)
Journal of the South African Institution of Civil Engineering     Open Access   (Followers: 4)
Jurnal Spektran     Open Access   (Followers: 1)
Jurnal Teknik Sipil dan Perencanaan     Open Access  
Konstruksia     Open Access  
KSCE Journal of Civil Engineering     Hybrid Journal   (Followers: 2)
Latin American Journal of Solids and Structures     Open Access   (Followers: 4)
Materiales de Construcción     Open Access  
Mathematical Modelling in Civil Engineering     Open Access   (Followers: 3)
Nondestructive Testing And Evaluation     Hybrid Journal   (Followers: 17)
Obras y Proyectos     Open Access   (Followers: 1)
Open Journal of Civil Engineering     Open Access   (Followers: 6)
Photonics and Nanostructures - Fundamentals and Applications     Hybrid Journal   (Followers: 2)
Practice Periodical on Structural Design and Construction     Full-text available via subscription   (Followers: 4)
Proceedings of the Institution of Civil Engineers - Bridge Engineering     Hybrid Journal   (Followers: 7)
Proceedings of the Institution of Civil Engineers - Civil Engineering     Hybrid Journal   (Followers: 11)
Proceedings of the Institution of Civil Engineers - Management, Procurement and Law     Hybrid Journal   (Followers: 8)
Proceedings of the Institution of Civil Engineers - Municipal Engineer     Hybrid Journal   (Followers: 3)
Proceedings of the Institution of Civil Engineers - Structures and Buildings     Hybrid Journal   (Followers: 4)
Random Structures and Algorithms     Hybrid Journal   (Followers: 5)
Recent Trends In Civil Engineering & Technology     Full-text available via subscription   (Followers: 4)
Research in Nondestructive Evaluation     Hybrid Journal   (Followers: 7)
Revista IBRACON de Estruturas e Materiais     Open Access   (Followers: 1)
Road Materials and Pavement Design     Hybrid Journal   (Followers: 9)
Russian Journal of Nondestructive Testing     Hybrid Journal   (Followers: 6)
Science and Engineering of Composite Materials     Hybrid Journal   (Followers: 61)
Selected Scientific Papers - Journal of Civil Engineering     Open Access   (Followers: 3)
Slovak Journal of Civil Engineering     Open Access   (Followers: 2)
Soils and foundations     Full-text available via subscription   (Followers: 4)
Steel Construction - Design and Research     Hybrid Journal   (Followers: 3)
Structural and Multidisciplinary Optimization     Hybrid Journal   (Followers: 9)
Structural Concrete     Hybrid Journal   (Followers: 11)
Structural Control and Health Monitoring     Hybrid Journal   (Followers: 9)
Structural Engineering International     Full-text available via subscription   (Followers: 11)
Structural Safety     Hybrid Journal   (Followers: 7)
Structural Survey     Hybrid Journal  
Structure     Full-text available via subscription   (Followers: 23)
Structure and Infrastructure Engineering: Maintenance, Management, Life-Cycle Design and Performance     Hybrid Journal   (Followers: 12)
Structures     Hybrid Journal   (Followers: 1)
Study of Civil Engineering and Architecture     Open Access   (Followers: 8)
Superlattices and Microstructures     Hybrid Journal   (Followers: 2)
Surface Innovations     Hybrid Journal  
Technical Report Civil and Architectural Engineering     Open Access  
Teknik     Open Access  
The IES Journal Part A: Civil & Structural Engineering     Hybrid Journal   (Followers: 6)
The Structural Design of Tall and Special Buildings     Hybrid Journal   (Followers: 6)
Thin Films and Nanostructures     Full-text available via subscription   (Followers: 2)
Thin-Walled Structures     Hybrid Journal   (Followers: 4)
Transactions of the VŠB - Technical University of Ostrava. Construction Series     Open Access   (Followers: 1)
Transportation Geotechnics     Full-text available via subscription   (Followers: 1)
Transportation Infrastructure Geotechnology     Hybrid Journal   (Followers: 8)
Underground Space     Open Access  
Water Science & Technology     Partially Free   (Followers: 25)
Water Science and Technology : Water Supply     Partially Free   (Followers: 22)

           

Journal Cover Constructive Approximation
  [SJR: 1.029]   [H-I: 35]   [0 followers]  Follow
    
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 1432-0940 - ISSN (Online) 0176-4276
   Published by Springer-Verlag Homepage  [2353 journals]
  • Lower Bounds for Haar Projections: Deterministic Examples
    • Authors: Andreas Seeger; Tino Ullrich
      Pages: 227 - 242
      Abstract: Abstract In a previous paper by the authors, the existence of Haar projections with growing norms in Sobolev–Triebel–Lizorkin spaces has been shown via a probabilistic argument. This existence was sufficient to determine the precise range of Triebel–Lizorkin spaces for which the Haar system is an unconditional basis. The aim of the present paper is to give simple deterministic examples of Haar projections that show this growth behavior in the respective range of parameters.
      PubDate: 2017-10-01
      DOI: 10.1007/s00365-016-9353-3
      Issue No: Vol. 46, No. 2 (2017)
       
  • Best Rational Approximation of Functions with Logarithmic Singularities
    • Authors: Alexander Pushnitski; Dmitri Yafaev
      Pages: 243 - 269
      Abstract: Abstract We consider functions \(\omega \) on the unit circle \({\mathbb T}\) with a finite number of logarithmic singularities. We study the approximation of \(\omega \) by rational functions and find an asymptotic formula for the distance in the \({{\mathrm{BMO}}}\) -norm between \(\omega \) and the set of rational functions of degree n as \(n\rightarrow \infty \) . Our approach relies on the Adamyan–Arov–Krein theorem and on the study of the asymptotic behavior of singular values of Hankel operators.
      PubDate: 2017-10-01
      DOI: 10.1007/s00365-016-9347-1
      Issue No: Vol. 46, No. 2 (2017)
       
  • Strictly Positive Definite Kernels on the Torus
    • Authors: J. Guella; V. A. Menegatto
      Pages: 271 - 284
      Abstract: Abstract We determine a necessary and sufficient condition for the strict positive definiteness of a continuous and positive definite kernel on the torus.
      PubDate: 2017-10-01
      DOI: 10.1007/s00365-016-9354-2
      Issue No: Vol. 46, No. 2 (2017)
       
  • Orthogonal Polynomials on the Circle for the Weight w Satisfying
           Conditions $$w,w^{-1}\in \mathrm{BMO}$$ w , w - 1 ∈ BMO
    • Authors: Sergey Denisov; Keith Rush
      Pages: 285 - 303
      Abstract: Abstract For the weight w satisfying \(w,w^{-1}\in \mathrm{BMO}({\mathbb {T}})\) , we prove the asymptotics of \(\{\Phi _n(e^{i\theta },w)\}\) in \(L^p[-\pi ,\pi ], 2\leqslant p<p_0\) , where \(\{\Phi _n(z,w)\}\) are monic polynomials orthogonal with respect to w on the unit circle \({\mathbb {T}}\) . Immediate applications include the estimates on the uniform norm and asymptotics of the polynomial entropies. The estimates on higher-order commutators between the Calderon–Zygmund operators and BMO functions play the key role in the proofs of main results.
      PubDate: 2017-10-01
      DOI: 10.1007/s00365-016-9350-6
      Issue No: Vol. 46, No. 2 (2017)
       
  • On the Zeros and Critical Points of Polynomials with Nonnegative
           Coefficients: A Nonconvex Analogue of the Gauss–Lucas Theorem
    • Authors: Blagovest Sendov; Hristo Sendov
      Pages: 305 - 317
      Abstract: Abstract In this work, we present a nonconvex analogue of the classical Gauss–Lucas theorem stating that the critical points of a polynomial with complex coefficients are in the convex hull of its zeros. We show that if the polynomial p(z) of degree n has nonnegative coefficients and zeros in the sector \(\{z \in \mathcal C: \arg (z) \ge \varphi \}\) , for some \(\varphi \in [0,\pi ]\) , then the critical points of p(z) are also in that sector. Clearly, when \(\varphi \in [\pi /2,\pi ]\) , our result follows from the classical Gauss–Lucas theorem. But when \(\varphi \in [0,\pi /2)\) , we obtain a nonconvex analogue.
      PubDate: 2017-10-01
      DOI: 10.1007/s00365-017-9374-6
      Issue No: Vol. 46, No. 2 (2017)
       
  • Approximation and Orthogonality in Sobolev Spaces on a Triangle
    • Authors: Yuan Xu
      Pages: 349 - 434
      Abstract: Abstract Approximation by polynomials on a triangle is studied in the Sobolev space \(W_2^r\) that consists of functions whose derivatives of up to r-th order have bounded \(L^2\) norm. The first part aims at understanding the orthogonal structure in the Sobolev space on the triangle, which requires explicit construction of an inner product that involves derivatives and its associated orthogonal polynomials, so that the projection operators of the corresponding Fourier orthogonal expansion commute with partial derivatives. The second part establishes the sharp estimate for the error of polynomial approximation in \(W_2^r\) , when  \(r = 1\) and \(r=2\) , where the polynomials of approximation are the partial sums of the Fourier expansions in orthogonal polynomials of the Sobolev space.
      PubDate: 2017-10-01
      DOI: 10.1007/s00365-017-9377-3
      Issue No: Vol. 46, No. 2 (2017)
       
  • Spectrally Optimized Pointset Configurations
    • Authors: Braxton Osting; Jeremy Marzuola
      Pages: 1 - 35
      Abstract: Abstract The search for optimal configurations of pointsets, the most notable examples being the problems of Kepler and Thompson, have an extremely rich history with diverse applications in physics, chemistry, communication theory, and scientific computing. In this paper, we introduce and study a new optimality criteria for pointset configurations. Namely, we consider a certain weighted graph associated with a pointset configuration and seek configurations that minimize certain spectral properties of the adjacency matrix or graph Laplacian defined on this graph, subject to geometric constraints on the pointset configuration. This problem can be motivated by solar cell design and swarming models, and we consider several spectral functions with interesting interpretations such as spectral radius, algebraic connectivity, effective resistance, and condition number. We prove that the regular simplex extremizes several spectral invariants on the sphere. We also consider pointset configurations on flat tori via (i) the analogous problem on lattices and (ii) through a variety of computational experiments. For many of the objectives considered (but not all), the triangular lattice is extremal.
      PubDate: 2017-08-01
      DOI: 10.1007/s00365-017-9365-7
      Issue No: Vol. 46, No. 1 (2017)
       
  • How Many Zolotarëv Fractions are There'
    • Authors: A. B. Bogatyrëv
      Pages: 37 - 45
      Abstract: Abstract Known properties of the Chebyshev polynomials are the following: they have simple critical points and only two (finite) critical values. Those properties uniquely determine the polynomials modulo affine transformations of dependent and independent variables. Zolotarëv fractions have similar properties: simple critical points with only four distinct critical values. These properties determine many classes of rational functions modulo projective transformations of the dependent and independent variables. In this paper, we explicity describe these classes.
      PubDate: 2017-08-01
      DOI: 10.1007/s00365-017-9366-6
      Issue No: Vol. 46, No. 1 (2017)
       
  • On the Order Derivatives of Bessel Functions
    • Authors: T. M. Dunster
      Pages: 47 - 68
      Abstract: Abstract The derivatives with respect to order for the Bessel functions \(J_{\nu }(x)\) and \(Y_{\nu }(x)\) , where \(\nu >0\) and \(x\ne 0\) (real or complex), are studied. Representations are derived in terms of integrals that involve the products pairs of Bessel functions, and in turn series expansions are obtained for these integrals. From the new integral representations for \(\partial J_{\nu }(x)/\partial \nu \) and \(\partial Y_{\nu }(x)/\partial \nu \) , asymptotic approximations involving Airy functions are constructed for the case \(\nu \) large, which are uniformly valid for \(0<x<\infty \) .
      PubDate: 2017-08-01
      DOI: 10.1007/s00365-016-9355-1
      Issue No: Vol. 46, No. 1 (2017)
       
  • Change of Variable in Spaces of Mixed Smoothness and Numerical Integration
           of Multivariate Functions on the Unit Cube
    • Authors: Van Kien Nguyen; Mario Ullrich; Tino Ullrich
      Pages: 69 - 108
      Abstract: Abstract In a recent article, two of the present authors studied Frolov’s cubature formulae and their optimality in Besov–Triebel–Lizorkin spaces of functions with dominating mixed smoothness supported in the unit cube. In this paper, we give a general result that the asymptotic order of the minimal worst-case integration error is not affected by boundary conditions in the above mentioned spaces. In fact, we propose two tailored modifications of Frolov’s cubature formulae suitable for functions supported on the cube (not in the cube) that yield the same order of convergence up to a constant. This constant involves the norms of a “change of variable” and a “pointwise multiplication” mapping, respectively, between the function spaces of interest. We complement, extend, and improve classical results on the boundedness of change of variable mappings in Besov–Sobolev spaces of mixed smoothness. The second modification, suitable for classes of periodic functions, is based on a pointwise multiplication and is therefore most likely more suitable for applications than the (traditional) “change of variable” approach. These new theoretical insights are expected to be useful for the design of new (and robust) cubature rules for multivariate functions on the cube.
      PubDate: 2017-08-01
      DOI: 10.1007/s00365-017-9371-9
      Issue No: Vol. 46, No. 1 (2017)
       
  • Orthogonal Polynomials for a Class of Measures with Discrete Rotational
           Symmetries in the Complex Plane
    • Authors: F. Balogh; T. Grava; D. Merzi
      Pages: 109 - 169
      Abstract: Abstract We obtain the strong asymptotics of polynomials \(p_n(\lambda )\) , \(\lambda \in {\mathbb {C}}\) , orthogonal with respect to measures in the complex plane of the form $$\begin{aligned} \hbox {e}^{-N( \lambda ^{2s}-t\lambda ^s-\overline{t}\overline{\lambda }^s)}\hbox {d}A(\lambda ), \end{aligned}$$ where s is a positive integer, t is a complex parameter, and \(\hbox {d}A\) stands for the area measure in the plane. This problem has its origin in normal matrix models. We study the asymptotic behavior of \(p_n(\lambda )\) in the limit \(n,N\rightarrow \infty \) in such a way that \(n/N\rightarrow T\) constant. Such asymptotic behavior has two distinguished regimes according to the topology of the limiting support of the eigenvalues distribution of the normal matrix model. If \(0< t ^2<T/s\) , the eigenvalue distribution support is a simply connected compact set of the complex plane, while for \( t ^2>T/s\) , the eigenvalue distribution support consists of s connected components. Correspondingly, the support of the limiting zero distribution of the orthogonal polynomials consists of a closed contour contained in each connected component. Our asymptotic analysis is obtained by reducing the planar orthogonality conditions of the polynomials to equivalent contour integral orthogonality conditions. The strong asymptotics for the orthogonal polynomials is obtained from the corresponding Riemann–Hilbert problem by the Deift–Zhou nonlinear steepest descent method.
      PubDate: 2017-08-01
      DOI: 10.1007/s00365-016-9356-0
      Issue No: Vol. 46, No. 1 (2017)
       
  • Orthogonal Polynomial Projection Error Measured in Sobolev Norms in the
           Unit Disk
    • Authors: Leonardo E. Figueroa
      Pages: 171 - 197
      Abstract: Abstract We study approximation properties of weighted \(L^2\) -orthogonal projectors onto the space of polynomials of degree less than or equal to N on the unit disk where the weight is of the generalized Gegenbauer form \(x \mapsto (1-\left x\right ^2)^\alpha \) . The approximation properties are measured in Sobolev-type norms involving canonical weak derivatives, all measured in the same weighted \(L^2\) norm. Our basic tool consists in the analysis of orthogonal expansions with respect to Zernike polynomials. The sharpness of the main result is proved in some cases. A number of auxiliary results of independent interest are obtained including some properties of the uniformly and nonuniformly weighted Sobolev spaces involved, connection coefficients between Zernike polynomials, an inverse inequality, and relations between the Fourier–Zernike expansions of a function and its derivatives.
      PubDate: 2017-08-01
      DOI: 10.1007/s00365-016-9358-y
      Issue No: Vol. 46, No. 1 (2017)
       
  • Bounds on Order of Indeterminate Moment Sequences
    • Authors: Raphael Pruckner; Roman Romanov; Harald Woracek
      Pages: 199 - 225
      Abstract: Abstract We investigate the order \(\rho \) of the four entire functions in the Nevanlinna matrix of an indeterminate Hamburger moment sequence. We give an upper estimate for \(\rho \) which is explicit in terms of the parameters of the canonical system associated with the moment sequence via its three-term recurrence. Under a weak regularity assumption, this estimate coincides with a lower estimate, and hence \(\rho \) becomes computable. Dropping the regularity assumption leads to examples where upper and lower bounds do not coincide and differ from the order. In particular, we provide examples for which the order is different from its lower estimate due to M.S. Livšic.
      PubDate: 2017-08-01
      DOI: 10.1007/s00365-016-9351-5
      Issue No: Vol. 46, No. 1 (2017)
       
  • On Uniform Convergence of Diagonal Multipoint Padé Approximants for
           Entire Functions
    • Authors: D. S. Lubinsky
      Abstract: Abstract We prove that for most entire functions f in the sense of category, a strong form of the Baker–Gammel–Wills conjecture holds. More precisely, there is an infinite sequence \({\mathcal {S}}\) of positive integers n, such that given any \(r>0\) , and multipoint Padé approximants \(R_{n}\) to f with interpolation points in \(\left\{ z:\left z\right \le r\right\} \) , \(\left\{ R_{n}\right\} _{n\in S}\) converges locally uniformly to f in the plane. The sequence \({\mathcal {S}}\) does not depend on r, or on the interpolation points. For entire functions with smooth rapidly decreasing coefficients, full diagonal sequences of multipoint Padé approximants converge.
      PubDate: 2017-09-05
      DOI: 10.1007/s00365-017-9391-5
       
  • Singular Values for Products of Two Coupled Random Matrices: Hard Edge
           Phase Transition
    • Authors: Dang-Zheng Liu
      Abstract: Abstract Consider the product GX of two rectangular complex random matrices coupled by a constant matrix \(\Omega \) , where G can be thought to be a Gaussian matrix and X is a bi-invariant polynomial ensemble. We prove that the squared singular values form a biorthogonal ensemble in Borodin’s sense, and further that for X being Gaussian, the correlation kernel can be expressed as a double contour integral. When all but finitely many eigenvalues of \(\Omega ^{} \Omega ^{*}\) are equal, the corresponding correlation kernel is shown to admit a phase transition phenomenon at the hard edge in four different regimes as the coupling matrix changes. Specifically, the four limiting kernels in turn are the Meijer G-kernel for products of two independent Gaussian matrices, a new critical and interpolating kernel, the perturbed Bessel kernel, and the finite coupled product kernel associated with GX. In the special case when X is also a Gaussian matrix and \(\Omega \) is scalar, such a product has been recently investigated by Akemann and Strahov. We also propose a Jacobi-type product and prove the same transition.
      PubDate: 2017-08-22
      DOI: 10.1007/s00365-017-9389-z
       
  • Metric Entropy of Classes of Sets with Positive Reach
    • Authors: James Cockreham; Fuchang Gao
      Abstract: Abstract Sharp metric entropy estimates under Hausdorff distance are obtained for classes of bounded sets with positive reach, extending a well-known result of Bronshtein for the class of bounded convex sets.
      PubDate: 2017-08-18
      DOI: 10.1007/s00365-017-9388-0
       
  • Norm Estimates for the Bergman and Cauchy–Szegö Projections Over the
           Siegel Upper Half-Space
    • Authors: Congwen Liu
      Abstract: Abstract We obtain several estimates for the \(L^p\) operator norms of the Bergman and Cauchy–Szegö projections over the the Siegel upper half-space. As a by-product, we also determine the precise value of the \(L^p\) operator norm of a family of integral operators over the Siegel upper half-space.
      PubDate: 2017-08-18
      DOI: 10.1007/s00365-017-9390-6
       
  • Entropy of Convex Functions on $$\mathbb {R}^d$$ R d
    • Authors: Fuchang Gao; Jon A. Wellner
      Abstract: Abstract Let \(\varOmega \) be a bounded closed convex set in \(\mathbb {R}^d\) with nonempty interior, and let \({\mathcal C}_r(\varOmega )\) be the class of convex functions on \(\varOmega \) with \(L^r\) -norm bounded by 1. We obtain sharp estimates of the \(\varepsilon \) -entropy of \({\mathcal C}_r(\varOmega )\) under \(L^p(\varOmega )\) metrics, \(1\le p<r\le \infty \) . In particular, the results imply that the universal lower bound \(\varepsilon ^{-d/2}\) is also an upper bound for all d-polytopes, and the universal upper bound of \(\varepsilon ^{-\frac{(d-1)}{2}\cdot \frac{pr}{r-p}}\) for \(p>\frac{dr}{d+(d-1)r}\) is attained by the closed unit ball. While a general convex body can be approximated by inscribed polytopes, the entropy rate does not carry over to the limiting body. Our results have applications to questions concerning rates of convergence of nonparametric estimators of high-dimensional shape-constrained functions.
      PubDate: 2017-08-17
      DOI: 10.1007/s00365-017-9387-1
       
  • Matrix-Valued Gegenbauer-Type Polynomials
    • Authors: Erik Koelink; Ana M. de los Ríos; Pablo Román
      Abstract: Abstract We introduce matrix-valued weight functions of arbitrary size, which are analogues of the weight function for the Gegenbauer or ultraspherical polynomials for the parameter \(\nu >0\) . The LDU-decomposition of the weight is explicitly given in terms of Gegenbauer polynomials. We establish a matrix-valued Pearson equation for these matrix weights leading to explicit shift operators relating the weights for parameters \(\nu \) and \(\nu +1\) . The matrix coefficients of the Pearson equation are obtained using a special matrix-valued differential operator in a commutative algebra of symmetric differential operators. The corresponding orthogonal polynomials are the matrix-valued Gegenbauer-type polynomials which are eigenfunctions of the symmetric matrix-valued differential operators. Using the shift operators, we find the squared norm, and we establish a simple Rodrigues formula. The three-term recurrence relation is obtained explicitly using the shift operators as well. We give an explicit nontrivial expression for the matrix entries of the matrix-valued Gegenbauer-type polynomials in terms of scalar-valued Gegenbauer and Racah polynomials using the LDU-decomposition and differential operators. The case \(\nu =1\) reduces to the case of matrix-valued Chebyshev polynomials previously obtained using group theoretic considerations.
      PubDate: 2017-07-20
      DOI: 10.1007/s00365-017-9384-4
       
  • Some Properties of the Derivatives on Sierpinski Gasket Type Fractals
    • Authors: Shiping Cao; Hua Qiu
      Abstract: Abstract In this paper, we focus on Strichartz’s derivatives, a family of derivatives including the normal derivative, on post critically finite fractals, which are defined at vertices in the graphs that approximate the fractal. We obtain a weak continuity property of the derivatives for functions in the domain of the Laplacian. For a function with zero normal derivative at any fixed vertex, the derivatives, including the normal derivatives, of the neighboring vertices will decay to zero. The rates of approximations are described, and several nontrivial examples are provided to illustrate that our estimates are optimal. We also study the boundedness property of derivatives for functions in the domain of the Laplacian. A necessary condition for a function having a weak tangent of order one at a vertex is provided. Furthermore, we give a counterexample of a conjecture of Strichartz on the existence of higher-order weak tangents.
      PubDate: 2017-07-17
      DOI: 10.1007/s00365-017-9385-3
       
 
 
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