Subjects -> MATHEMATICS (Total: 1118 journals)
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    - PROBABILITIES AND MATH STATISTICS (113 journals)

MATHEMATICS (819 journals)                  1 2 3 4 5 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 5)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 3)
Accounting Perspectives     Full-text available via subscription   (Followers: 9)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 17)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 5)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 9)
ACS Applied Materials & Interfaces     Hybrid Journal   (Followers: 44)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 2)
Acta Mathematica     Hybrid Journal   (Followers: 11)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 6)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 13)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 6)
Advances in Catalysis     Full-text available via subscription   (Followers: 8)
Advances in Complex Systems     Hybrid Journal   (Followers: 12)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 23)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 5)
Advances in Fixed Point Theory     Open Access   (Followers: 9)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 22)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 10)
Advances in Materials Science     Open Access   (Followers: 22)
Advances in Mathematical Physics     Open Access   (Followers: 10)
Advances in Mathematics     Full-text available via subscription   (Followers: 22)
Advances in Numerical Analysis     Open Access   (Followers: 8)
Advances in Operations Research     Open Access   (Followers: 14)
Advances in Operator Theory     Hybrid Journal   (Followers: 4)
Advances in Porous Media     Full-text available via subscription   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 11)
Advances in Science and Research (ASR)     Open Access   (Followers: 8)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 12)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 7)
Afrika Matematika     Hybrid Journal   (Followers: 3)
Air, Soil & Water Research     Open Access   (Followers: 13)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 4)
AKSIOMATIK : Jurnal Penelitian Pendidikan dan Pembelajaran Matematika     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access   (Followers: 1)
Al-Qadisiyah Journal for Computer Science and Mathematics     Open Access   (Followers: 1)
AL-Rafidain Journal of Computer Sciences and Mathematics     Open Access   (Followers: 6)
Algebra and Logic     Hybrid Journal   (Followers: 8)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Open Access   (Followers: 5)
Algorithms     Open Access   (Followers: 14)
Algorithms Research     Open Access   (Followers: 2)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 10)
American Journal of Mathematical Analysis     Open Access   (Followers: 2)
American Journal of Mathematical and Management Sciences     Hybrid Journal   (Followers: 1)
American Journal of Mathematics     Full-text available via subscription   (Followers: 9)
American Journal of Operations Research     Open Access   (Followers: 8)
American Mathematical Monthly     Full-text available via subscription   (Followers: 7)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 13)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access  
Analysis and Applications     Hybrid Journal   (Followers: 2)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 10)
Analysis Mathematica     Full-text available via subscription  
Anargya : Jurnal Ilmiah Pendidikan Matematika     Open Access   (Followers: 8)
Annales Mathematicae Silesianae     Open Access   (Followers: 2)
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 17)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 8)
Annals of Functional Analysis     Hybrid Journal   (Followers: 4)
Annals of Mathematics     Full-text available via subscription   (Followers: 4)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 16)
Annals of PDE     Hybrid Journal  
Annals of Pure and Applied Logic     Open Access   (Followers: 6)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access   (Followers: 1)
Annals of West University of Timisoara - Mathematics and Computer Science     Open Access   (Followers: 2)
Annuaire du Collège de France     Open Access   (Followers: 6)
ANZIAM Journal     Open Access   (Followers: 2)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 3)
Applications of Mathematics     Hybrid Journal   (Followers: 3)
Applied Categorical Structures     Hybrid Journal   (Followers: 4)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 16)
Applied Mathematics     Open Access   (Followers: 10)
Applied Mathematics     Open Access   (Followers: 6)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 13)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal   (Followers: 2)
Applied Mathematics and Nonlinear Sciences     Open Access   (Followers: 1)
Applied Mathematics Letters     Full-text available via subscription   (Followers: 3)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 2)
Applied Network Science     Open Access   (Followers: 3)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 6)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 6)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 4)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 4)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 6)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 6)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Armenian Journal of Mathematics     Open Access   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites     Open Access   (Followers: 24)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Research Journal of Mathematics     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 4)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 7)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 2)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access   (Followers: 1)
Baltic International Yearbook of Cognition, Logic and Communication     Open Access   (Followers: 2)
Banach Journal of Mathematical Analysis     Hybrid Journal   (Followers: 1)
Basin Research     Hybrid Journal   (Followers: 6)
BIBECHANA     Open Access   (Followers: 2)
Biomath     Open Access  
BIT Numerical Mathematics     Hybrid Journal   (Followers: 1)
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 3)
British Journal for the History of Mathematics     Hybrid Journal  
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 20)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 14)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 3)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of Symbolic Logic     Full-text available via subscription   (Followers: 3)
Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics     Open Access  
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 2)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the Iranian Mathematical Society     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Cadernos do IME : Série Matemática     Open Access   (Followers: 2)
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Mathematics / Journal canadien de mathématiques     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 23)
Canadian Mathematical Bulletin     Hybrid Journal  
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 6)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
Chaos, Solitons & Fractals : X     Open Access   (Followers: 1)
ChemSusChem     Hybrid Journal   (Followers: 8)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 3)
Chinese Journal of Mathematics     Open Access  
Ciencia     Open Access   (Followers: 1)
CODEE Journal     Open Access   (Followers: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 3)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Hybrid Journal   (Followers: 4)
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 17)
Commentarii Mathematici Helvetici     Hybrid Journal  
Communications in Advanced Mathematical Sciences     Open Access  
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 4)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 5)
Complex Analysis and its Synergies     Open Access   (Followers: 3)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Composite Materials Series     Full-text available via subscription   (Followers: 11)
Compositio Mathematica     Full-text available via subscription  
Comptes Rendus : Mathematique     Open Access  
Computational and Applied Mathematics     Hybrid Journal   (Followers: 4)
Computational and Mathematical Methods     Hybrid Journal  
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 3)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 1)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 9)
Computational Mechanics     Hybrid Journal   (Followers: 10)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 11)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 11)
Confluentes Mathematici     Hybrid Journal  
Constructive Mathematical Analysis     Open Access   (Followers: 1)
Contributions to Discrete Mathematics     Open Access   (Followers: 1)
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal   (Followers: 1)
Cryptography and Communications     Hybrid Journal   (Followers: 14)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 8)
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Daya Matematis : Jurnal Inovasi Pendidikan Matematika     Open Access   (Followers: 1)
Demographic Research     Open Access   (Followers: 16)
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 35)
Desimal : Jurnal Matematika     Open Access   (Followers: 3)
Developments in Clay Science     Full-text available via subscription   (Followers: 1)
Developments in Mineral Processing     Full-text available via subscription   (Followers: 3)
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 4)

        1 2 3 4 5 | Last

Similar Journals
Journal Cover
Complex Analysis and its Synergies
Number of Followers: 3  

  This is an Open Access Journal Open Access journal
ISSN (Print) 2524-7581 - ISSN (Online) 2197-120X
Published by SpringerOpen Homepage  [260 journals]
  • Polyanalytic reproducing kernels in $$\mathbb {C}^n$$ C n

    • Abstract: In this note we establish integral formulas for polyanalytic functions in several variables. More precisely, given a positive integer q, we provide explicit expressions for the reproducing kernels of the weighted Bergman spaces of q-analytic functions on the unit ball in \(\mathbb {C}^n\) and that of q-analytic Fock space in \(\mathbb {C}^n\) .
      PubDate: 2021-10-07
       
  • Non-variational extrema of exponential Teichmüller spaces

    • Abstract: The exponential Teichmüller spaces \(E_p\) , \(0\le p \le \infty\) , interpolate between the classical Teichmüller space ( \(p=\infty\) ) and the space of harmonic diffeomorphisms \((p=0)\) . In this article, we prove the existence of non-variational critical points for the associated functional: mappings f of the disk whose distortion is p-exponentially integrable, \(0<p<\infty\) , yet for any diffeomorphism g(z) of \({\mathbb {D}}\) with \(g \partial {\mathbb {D}}=identity\) and \(g\ne identity\) we have \(f\circ g\) is not of p-exponentially integrable distortion.
      PubDate: 2021-08-06
       
  • Quasiregular curves: Hölder continuity and higher integrability

    • Abstract: We show that a K-quasiregular \(\omega\) -curve from a Euclidean domain to a Euclidean space with respect to a covector \(\omega\) is locally \((1/K)(\Vert \omega \Vert / \omega _{\ell _1})\) -Hölder continuous. We also show that quasiregular curves enjoy higher integrability.
      PubDate: 2021-07-22
       
  • Compact homogeneous Leviflat CR-manifolds

    • Abstract: We consider compact Leviflat homogeneous Cauchy–Riemann (CR) manifolds. In this setting, the Levi-foliation exists and we show that all its leaves are homogeneous and biholomorphic. We analyze separately the structure of orbits in complex projective spaces and parallelizable homogeneous CR-manifolds in our context and then combine the projective and parallelizable cases. In codimensions one and two, we also give a classification.
      PubDate: 2021-07-15
       
  • On an invariant distance induced by the Szegő Kernel

    • Abstract: In this paper we introduce a new distance by means of the so-called Szegő kernel and examine some basic properties and its relationship with the so-called Skwarczyński distance. We also examine the relationship between this distance, and the so-called Bergman distance and Szegő distance.
      PubDate: 2021-07-13
       
  • Left-invariant CR structures on 3-dimensional Lie groups

    • Abstract: The systematic study of CR manifolds originated in two pioneering 1932 papers of Élie Cartan. In the first, Cartan classifies all homogeneous CR 3-manifolds, the most well-known case of which is a one-parameter family of left-invariant CR structures on \(\mathrm {SU}_2= S^3\) , deforming the standard ‘spherical’ structure. In this paper, mostly expository, we illustrate and clarify Cartan’s results and methods by providing detailed classification results in modern language for four 3-dimensional Lie groups. In particular, we find that \({\mathrm {SL}_2({\mathbb {R}})}\) admits two one-parameter families of left-invariant CR structures, called the elliptic and hyperbolic families, characterized by the incidence of the contact distribution with the null cone of the Killing metric. Low dimensional complex representations of \({\mathrm {SL}_2({\mathbb {R}})}\) provide CR embedding or immersions of these structures. The same methods apply to all other 3-dimensional Lie groups and are illustrated by descriptions of the left-invariant CR structures for \(\mathrm {SU}_2\) , the Heisenberg group, and the Euclidean group.
      PubDate: 2021-06-25
       
  • Pekka Koskela

    • PubDate: 2021-06-16
       
  • The distribution of radial eigenvalues of the Euclidean Laplacian on
           homogeneous isotropic trees

    • Abstract: Let \(\Omega\) be a bounded open subset of \({\mathbb {R}}^n\) and \(\Delta\) the Euclidean Laplace operator \(\sum _{i=1}^n \partial ^2/\partial x_i^2\) . Let \(\beta (x)\) denote the number of eigenvalues less or equal to x with respect to the eigenvalue problem \(\Delta f = -x f\) on \(\Omega\) with \(f=0\) on the boundary of \(\Omega\) . A well-known result due to Hermann Weyl gives the asymptotic formula \(\beta (x)= (2 \pi )^{-n} B_n m_n(\Omega ) x^{n/2}+ o(x^{n/2})\) as \(x\rightarrow \infty\) , where \(B_n\) is the volume of the unit ball in \({\mathbb {R}}^n\) and \(m_n(\Omega )\) is the volume of \(\Omega\) . In this work, we consider the analogous problem for radial functions in the discrete setting of the homogeneous isotropic tree T of homogeneity \(q+1\) ( \(q\ge 2\) ). As the volume of T with respect to the hyperbolic metric is infinite, we don’t expect and indeed we show that there is no analogous result for the commonly used hyperbolic Laplacian on T. We consider instead the eigenvalue problem for radial functions on T with respect to the Euclidean Laplacian on T introduced in [6], where the boundary condition \(f=0\) means that f converges radially to 0 at \(\infty\) . We prove that \(\beta (x)\) is within 2 of \(\log _q \sqrt{x}\) . We also consider other boundary conditions and pose some open questions.
      PubDate: 2021-06-10
       
  • Some recent results on the geometry of complex polynomials: the
           Gauss–Lucas theorem, polynomial lemniscates, shape analysis, and
           conformal equivalence

    • Abstract: In this article, we survey the recent literature surrounding the geometry of complex polynomials. Specific areas surveyed are (i) Generalizations of the Gauss–Lucas Theorem, (ii) Geometry of Polynomials Level Sets, and (iii) Shape Analysis and Conformal Equivalence.
      PubDate: 2021-05-17
       
  • Universal Taylor series on products of planar domains

    • Abstract: Using a recent Mergelyan type theorem for products of planar compact sets, we establish generic existence of universal Taylor series on products of planar simply connected domains \({\varOmega }_i\) , \(i=1,\ldots ,d\) . The universal approximation is realized by partial sums of the Taylor development of the universal function on products of planar compact sets \(K_i\) , \(i=1,\ldots ,d\) such that \({\mathbb {C}}-K_i\) is connected and for at least one \(i_0\) the set \(K_{i_0}\) is disjoint from \({\varOmega }_{i_0}\) .
      PubDate: 2021-05-15
       
  • On the angular boundary values of subharmonic functions in the unit disc

    • Abstract: For a subharmonic function defined in the unit disc, we consider the relation between angular boundary value, angular cluster set, and “angular normality” at a point of the unit circle.
      PubDate: 2021-04-30
       
  • On the properties of canonical solution operator to $${\bar{\partial }}$$
           ∂ ¯ restricted to Dirichlet space

    • Abstract: In this paper, we first show that the canonical solution operator \(S_1\) to \({\bar{\partial }}\) restricted to (0,1)-forms with holomorphic function coefficients can be expressed by an integral operator using the Dirichlet kernel. Then we prove that operator \(S_k\,(k\ge 1)\) is a Hilbert–Schmidt operator on the Dirichlet space of \({\mathbb {D}}\) , but fails to be the Hilbert–Schmidt operator on the Dirichlet space of \({\mathbb {D}}^{2}\) . Finally we show that the concomitant operator \(P_{k}\) of \(S_{k}\,(k\ge 2)\) is similar to the direct sum of k copies of the concomitant operator \(P_{1}\) of \(S_{1}\) .
      PubDate: 2021-04-26
       
  • A survey of optimal polynomial approximants, applications to digital
           filter design, and related open problems

    • Abstract: In the last few years, the notion of optimal polynomial approximant has appeared in the mathematics literature in connection with the Hilbert spaces of analytic functions of one or more variables. In the 1970s, researchers in engineering and applied mathematics introduced least-squares inverses in the context of digital filters in signal processing. It turns out that in the Hardy space \(H^{2},\) these objects are identical. This paper is a survey of known results about optimal polynomial approximants. In particular, we will examine their connections with orthogonal polynomials and reproducing kernels in weighted spaces and digital filter design. We will also describe what is known about the zeros of optimal polynomial approximants, their rates of decay, and convergence results. Throughout the paper, we state many open questions that may be of interest.
      PubDate: 2021-04-17
       
  • On the three ball theorem for solutions of the Helmholtz equation

    • Abstract: Let \(u_{k}\) be a solution of the Helmholtz equation with the wave number k, \(\varDelta u_{k}+k^{2} u_{k}=0\) , on (a small ball in) either \({\mathbb {R}}^{n}\) , \({\mathbb {S}}^{n}\) , or \({\mathbb {H}}^{n}\) . For a fixed point p, we define \(M_{u_{k}}(r)=\max _{d(x,p)\le r} u_{k}(x) .\) The following three ball inequality $$M_{u_{k}}(2r)\le C(k,r,\alpha )M_{u_{k}}(r)^{\alpha }M_{u_{k}}(4r)^{1-\alpha }$$ is well known, it holds for some \(\alpha \in (0,1)\) and \(C(k,r,\alpha )>0\) independent of \(u_{k}\) . We show that the constant \(C(k,r,\alpha )\) grows exponentially in k (when r is fixed and small). We also compare our result with the increased stability for solutions of the Cauchy problem for the Helmholtz equation on Riemannian manifolds.
      PubDate: 2021-04-13
       
  • One-sided extendability of bounded functions

    • Abstract: In this paper, we show that one-sided extendability of functions in certain \(L^{\infty }\) spaces of a rectifiable Jordan arc is a rare phenomenon. We also discuss possible generalizations.
      PubDate: 2021-04-13
       
  • Laurent series of holomorphic functions smooth up to the boundary

    • Abstract: It is shown that the Laurent series of a holomorphic function smooth up to the boundary on a Reinhardt domain in \({\mathbb {C}}^n\) converges unconditionally to the function in the Fréchet topology of the space of functions smooth up to the boundary.
      PubDate: 2021-04-12
       
  • A note on the critical points of the localization landscape

    • Abstract: Let \(\Omega \subset {{\mathbb{C}}}\) be a bounded domain. In this note, we use complex variable methods to study the number of critical points of the function \(v=v_\Omega\) that solves the elliptic problem \(\Delta v = -2\) in \(\Omega ,\) with boundary values \(v=0\) on \(\partial \Omega .\) This problem has a classical flavor but is especially motivated by recent studies on localization of eigenfunctions. We provide an upper bound on the number of critical points of v when \(\Omega\) belongs to a special class of domains in the plane, namely, domains for which the boundary \(\partial \Omega\) is contained in \(\{z: z ^2 = f(z) + \overline{f(z)}\},\) where \(f^{\prime}(z)\) is a rational function. We furnish examples of domains where this bound is attained. We also prove a bound on the number of critical points in the case when \(\Omega\) is a quadrature domain. The note concludes with the statement of some open problems and conjectures.
      PubDate: 2021-04-09
       
  • Some questions on $$L^1$$ L 1 -approximation in bergman spaces

    • PubDate: 2021-04-05
       
  • Polynomial approximation in weighted Dirichlet spaces

    • Abstract: We give an elementary proof of an analogue of Fejér’s theorem in weighted Dirichlet spaces with superharmonic weights. This provides a simple way of seeing that polynomials are dense in such spaces.
      PubDate: 2021-04-05
       
  • Harmonic hereditary convexity

    • PubDate: 2021-03-31
       
 
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