Subjects -> MATHEMATICS (Total: 1118 journals)
    - APPLIED MATHEMATICS (92 journals)
    - GEOMETRY AND TOPOLOGY (23 journals)
    - MATHEMATICS (819 journals)
    - MATHEMATICS (GENERAL) (45 journals)
    - NUMERICAL ANALYSIS (26 journals)
    - 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: 15)
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: 18)
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
Collectanea Mathematica
Number of Followers: 0  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 0010-075 - ISSN (Online) 2038-4815
Published by Springer-Verlag Homepage  [2658 journals]
  • Tropically planar graphs

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      Abstract: We study tropically planar graphs, which are the graphs that appear in smooth tropical plane curves. We develop necessary conditions for graphs to be tropically planar, and compute the number of tropically planar graphs up to genus 7. We provide non-trivial upper and lower bounds on the number of tropically planar graphs, and prove that asymptotically \(0\%\) of connected trivalent planar graphs are tropically planar.
      PubDate: 2021-10-07
       
  • Fourier multipliers for Triebel–Lizorkin spaces on compact Lie
           groups

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      Abstract: We investigate the boundedness of Fourier multipliers on a compact Lie group when acting on Triebel-Lizorkin spaces. Criteria are given in terms of the Hörmander-Mihlin-Marcinkiewicz condition. In our analysis, we use the difference structure of the unitary dual of a compact Lie group. Our results cover the sharp Hörmander-Mihlin theorem on Lebesgue spaces and also other historical results on the subject.
      PubDate: 2021-10-06
       
  • Equilibrium measures on trees

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      Abstract: We give a characterization of equilibrium measures for p-capacities on the boundary of an infinite tree of arbitrary (finite) local degree. For \(p=2\) , this provides, in the special case of trees, a converse to a theorem of Benjamini and Schramm, which interpretes the equilibrium measure of a planar graph’s boundary in terms of square tilings of cylinders.
      PubDate: 2021-09-23
       
  • A new concept of smoothness in Orlicz spaces

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      Abstract: In a 2015 article Cuenya and Ferreyra defined a class of functions in \(L^p\) -spaces, denoted by \(c_n^p(x)\) . The class \(c_n^p(x)\) contains the class of \(L^p\) -differentiability functions, denoted by \(t_n^p(x)\) , introduced in a 1961 article by Calderón-Zygmund. A more recent paper by Acinas, Favier and Zó introduced a new class of functions in Orlicz spaces \(L^\Phi\) , called \(L^\Phi\) -differentiable functions in the present article. The class of \(L^\Phi\) -differentiable functions is closely related to the class \(t_n^p(x)\) . In this work, we define a class of functions in \(L^\Phi\) , denoted by \(c_n^{\Phi }(x)\) . The class \(c_n^{\Phi }(x)\) is more general than the class of \(L^{\varPhi}\) -differentiable functions. We prove the existence of the best local \(\Phi\) -approximation for functions in \(c_n^{\varPhi }(x)\) and study the convexity of the set of cluster points of the set of best \(\Phi\) -approximations to a function on an interval when their measures tend to zero.
      PubDate: 2021-09-17
       
  • Some results concerning ideal and classical uniform integrability and mean
           convergence

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      Abstract: In this article, the concept of \({\mathcal {J}}\) -uniform integrability of a sequence of random variables \(\left\{ X_{k}\right\} \) with respect to \(\left\{ a_{nk} \right\} \) is introduced where \({\mathcal {J}}\) is a non-trivial ideal of subsets of the set of positive integers and \(\left\{ a_{nk} \right\} \) is an array of real numbers. We show that this concept is weaker than the concept of \(\left\{ X_{k} \right\} \) being uniformly integrable with respect to \(\left\{ a_{nk} \right\} \) and is more general than the concept of B-statistical uniform integrability with respect to \(\left\{ a_{nk} \right\} \) . We give two characterizations of \({\mathcal {J}}\) -uniform integrability with respect to \(\left\{ a_{nk} \right\} \) . One of them is a de La Vallée Poussin type characterization. For a sequence of pairwise independent random variables \(\left\{ X_{k} \right\} \) which is \({\mathcal {J}}\) -uniformly integrable with respect to \(\left\{ a_{nk} \right\} \) , a law of large numbers with mean ideal convergence is proved. We also obtain a version without the pairwise independence assumption by strengthening other conditions. Supplements to the classical Mean Convergence Criterion are also established.
      PubDate: 2021-09-16
       
  • Sparse domination results for compactness on weighted spaces

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      Abstract: By means of appropriate sparse bounds, we deduce compactness on weighted \(L^p(w)\) spaces, \(1<p<\infty\) , for all Calderón–Zygmund operators having compact extensions on \(L^2({\mathbb {R}}^n)\) . Similar methods lead to new results on boundedness and compactness of Haar multipliers on weighted spaces. In particular, we prove weighted bounds for weights in a class strictly larger than the typical \(A_p\) class.
      PubDate: 2021-09-04
       
  • Resurgence numbers of fiber products of projective schemes

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      Abstract: We investigate the resurgence and asymptotic resurgence numbers of fiber products of projective schemes. Particularly, we show that while the asymptotic resurgence number of the k-fold fiber product of a projective scheme remains unchanged, its resurgence number could strictly increase.
      PubDate: 2021-09-01
       
  • On a question of Hartshorne

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      Abstract: Let I be an ideal of a commutative Noetherian ring R. It is shown that the R-modules \(H^i_I(M)\) are I-cofinite, for all finitely generated R-modules M and all \(i\in {\mathbb {N}}_0\) , if and only if the R-modules \(H^i_I(R)\) are I-cofinite with dimension not exceeding 1, for all integers \(i\ge 2\) ; in addition, under these equivalent conditions it is shown that, for each minimal prime ideal \({{\mathfrak {p}}}\) over I, either \({{\text {height}}}{{\mathfrak {p}}}\le 1\) or \(\dim R/{{\mathfrak {p}}}\le 1\) , and the prime spectrum of the I-transform R-algebra \(D_I(R)\) equipped with its Zariski topology is Noetherian. Also, by constructing an example we show that under the same equivalent conditions in general the ring \(D_I(R)\) need not be Noetherian. Furthermore, in the case that R is a local ring, it is shown that the R-modules \(H^i_I(M)\) are I-cofinite, for all finitely generated R-modules M and all \(i\in {\mathbb {N}}_0\) , if and only if for each minimal prime ideal \({\mathfrak {P}}\) of \({\widehat{R}}\) , either \(\dim {\widehat{R}}/(I{\widehat{R}}+{\mathfrak {P}})\le 1\) or \(H^i_{I{\widehat{R}}}({\widehat{R}}/{\mathfrak {P}})=0\) , for all integers \(i\ge 2\) . Finally, it is shown that if R is a semi-local ring and the R-modules \(H^i_I(M)\) are I-cofinite, for all finitely generated R-modules M and all \(i\in {\mathbb {N}}_0\) , then the category of all I-cofinite modules forms an Abelian subcategory of the category of all R-modules.
      PubDate: 2021-09-01
       
  • Fractional Paley–Wiener and Bernstein spaces

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      Abstract: We introduce and study a family of spaces of entire functions in one variable that generalise the classical Paley–Wiener and Bernstein spaces. Namely, we consider entire functions of exponential type a whose restriction to the real line belongs to the homogeneous Sobolev space \(\dot{W}^{s,p}\) and we call these spaces fractional Paley–Wiener if \(p=2\) and fractional Bernstein spaces if \(p\in (1,\infty )\) , that we denote by \(PW^s_a\) and \({\mathcal {B}}^{s,p}_a\) , respectively. For these spaces we provide a Paley–Wiener type characterization, we remark some facts about the sampling problem in the Hilbert setting and prove generalizations of the classical Bernstein and Plancherel–Pólya inequalities. We conclude by discussing a number of open questions.
      PubDate: 2021-09-01
       
  • Hilbert–Poincaré series of parity binomial edge ideals and permanental
           ideals of complete graphs

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      Abstract: We give an explicit formula for the Hilbert–Poincaré series of the parity binomial edge ideal of a complete graph  \(K_{n}\) or equivalently for the ideal generated by all \(2\times 2\) -permanents of a \(2\times n\) -matrix. It follows that the depth and Castelnuovo–Mumford regularity of these ideals are independent of n.
      PubDate: 2021-09-01
       
  • Szczarba’s twisting cochain and the Eilenberg–Zilber maps

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      Abstract: We show that Szczarba’s twisting cochain for a twisted Cartesian product is essentially the same as the one constructed by Shih. More precisely, Szczarba’s twisting cochain can be obtained via the basic perturbation lemma if one uses a ‘reversed’ version of the classical Eilenberg–Mac Lane homotopy for the Eilenberg–Zilber contraction. Along the way we prove several new identities involving these homotopies.
      PubDate: 2021-09-01
       
  • On the Davis-Wielandt shell of an operator and the Davis-Wielandt index of
           a normed linear space

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      Abstract: We study the Davis-Wielandt shell and the Davis-Wielandt radius of an operator on a normed linear space \(\mathcal {X}\) . We show that after a suitable modification, the modified Davis-Wielandt radius defines a norm on \(\mathcal {L}(\mathcal {X})\) which is equivalent to the usual operator norm on \(\mathcal {L}(\mathcal {X})\) . We introduce the Davis-Wielandt index of a normed linear space and compute its value explicitly in case of some particular polyhedral Banach spaces. We also present a general method to estimate the Davis-Wielandt index of any polyhedral finite-dimensional Banach space.
      PubDate: 2021-09-01
       
  • Stone–Weierstrass theorems for Riesz ideals of continuous functions

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      Abstract: Notions of convergence and continuity specifically adapted to Riesz ideals \(\mathscr {I}\) of the space of continuous real-valued functions on a Lindelöf locally compact Hausdorff space are given, and used to prove Stone–Weierstrass-type theorems for \(\mathscr {I}\) . As applications, sufficient conditions are discussed that guarantee that various types of positive linear maps on \(\mathscr {I}\) are uniquely determined by their restriction to various point-separating subsets of \(\mathscr {I}\) . A very special case of this is the characterization of the strong determinacy of moment problems, which is rederived here in a rather general setting and without making use of spectral theory.
      PubDate: 2021-09-01
       
  • Duality of gauges and symplectic forms in vector spaces

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      Abstract: A gauge \(\gamma\) in a vector space X is a distance function given by the Minkowski functional associated to a convex body K containing the origin in its interior. Thus, the outcoming concept of gauge spaces \((X, \gamma )\) extends that of finite dimensional real Banach spaces by simply neglecting the symmetry axiom (a viewpoint that Minkowski already had in mind). If the dimension of X is even, then the fixation of a symplectic form yields an identification between X and its dual space \(X^*\) . The image of the polar body \(K^{\circ }\subseteq X^*\) under this identification yields a (skew-)dual gauge on X. In this paper, we study geometric properties of this so-called dual gauge, such as its behavior under isometries and its relation to orthogonality. A version of the Mazur–Ulam theorem for gauges is also proved. As an application of the theory, we show that closed characteristics of the boundary of a (smooth) convex body are optimal cases of a certain isoperimetric inequality.
      PubDate: 2021-09-01
       
  • Orlicz spaces associated to a quasi-Banach function space: applications to
           vector measures and interpolation

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      Abstract: The Orlicz spaces \(X^{\varPhi }\) associated to a quasi-Banach function space X are defined by replacing the role of the space \(L^1\) by X in the classical construction of Orlicz spaces. Given a vector measure m,  we can apply this construction to the spaces \(L^1_w(m),\) \(L^1(m)\) and \(L^1(\Vert m\Vert )\) of integrable functions (in the weak, strong and Choquet sense, respectively) in order to obtain the known Orlicz spaces \(L^{\varPhi }_w(m)\) and \(L^{\varPhi }(m)\) and the new ones \(L^{\varPhi }(\Vert m\Vert ).\) Therefore, we are providing a framework where dealing with different kind of Orlicz spaces in a unified way. Some applications to complex interpolation are also given.
      PubDate: 2021-09-01
       
  • Oscillations on one dimensional time dependent center manifolds: algebraic
           curves approach

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      Abstract: We consider a one dimensional time dependent ODE of degree \(n\ge 2\) as the restriction of an arbitrary nonautonomous ODE to the associated one dimensional center manifold. Then, we present an algorithm for computing time dependent algebraic curves of m-th degree with \(m\le n-1\) . This computation leads us to a m dimensional time dependent bifurcation equation. We determine oscillatory behaviors of the system with the help of the bifurcation equation. Finally, we complete the method for a general parametric planar system and find periodic solutions. The method can be applied for a wide range of nonautonomous systems and does not have restrictions of classical methods such as the Poincaré map.
      PubDate: 2021-08-02
       
  • Smooth determinantal varieties and critical loci in multiview geometry

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      Abstract: Linear projections from \(\mathbb {P}^k\) to \(\mathbb {P}^h\) appear in computer vision as models of images of dynamic or segmented scenes. Given multiple projections of the same scene, the identification of sufficiently many correspondences between the images allows, in principle, to reconstruct the position of the projected objects. A critical locus for the reconstruction problem is a variety in \(\mathbb {P}^k\) containing the set of points for which the reconstruction fails. Critical loci turn out to be determinantal varieties. In this paper we determine and classify all the smooth critical loci, showing that they are classical projective varieties.
      PubDate: 2021-07-29
       
  • Semiregular and strongly irregular boundary points for p-harmonic
           functions on unbounded sets in metric spaces

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      Abstract: The trichotomy between regular, semiregular, and strongly irregular boundary points for \(p\) -harmonic functions is obtained for unbounded open sets in complete metric spaces with a doubling measure supporting a \(p\) -Poincaré inequality, \(1<p<\infty \) . We show that these are local properties. We also deduce several characterizations of semiregular points and strongly irregular points. In particular, semiregular points are characterized by means of capacity, \(p\) -harmonic measures, removability, and semibarriers.
      PubDate: 2021-07-28
       
  • Structure of the Lipschitz free p-spaces
           $${\mathcal{F}}_p({\mathbb{Z}}^d)$$ F p ( Z d ) and
           $${\mathcal{F}}_p({\mathbb{R}}^d)$$ F p ( R d ) for $$0       p ≤ 1

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      Abstract: Our aim in this article is to contribute to the theory of Lipschitz free p-spaces for \(0<p\le 1\) over the Euclidean spaces \({\mathbb{R}}^d\) and \({\mathbb{Z}}^d\) . To that end, we show that \({\mathcal{F}}_p({\mathbb{R}}^d)\) admits a Schauder basis for every \(p\in (0,1]\) , thus generalizing the corresponding result for the case \(p=1\) by Hájek and Pernecká (J Math Anal Appl 416(2):629–646, 2014, Theorem 3.1) and answering in the positive a question that was raised by Albiac et al. in (J Funct Anal 278(4):108354, 2020). Explicit formulas for the bases of \({\mathcal{F}}_p({\mathbb{R}}^d)\) and its isomorphic space \({\mathcal{F}}_p([0,1]^d)\) are given. We also show that the well-known fact that \({\mathcal{F}}({\mathbb{Z}})\) is isomorphic to \(\ell _{1}\) does not extend to the case when \(p<1\) , that is, \({\mathcal{F}}_{p}({\mathbb{Z}})\) is not isomorphic to \(\ell _{p}\) when \(0<p<1\) .
      PubDate: 2021-07-19
       
  • A generalized Grobman–Hartman theorem for nonautonomous dynamics

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      Abstract: The purpose of this note is to extend the recent generalized version of the Grobman–Hartman theorem established by Bernardes Jr. and Messaoudi from an autonomous to nonautonomous dynamics. More precisely, we prove that any sufficiently small perturbation of a nonautonomous linear dynamics that admits a generalized exponential dichotomy is topologically conjugated to its linear part. In addition, we prove that under certain mild additional conditions, the conjugacy is in fact Hölder continuous.
      PubDate: 2021-07-10
       
 
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