Výsledky vyhledávání - "Functional analysis techniques applied to functions of several complex variables"

Herglotz's representation and Carathéodory's approximation

Autoři: Tirthankar Bhattacharyya Mainak Bhowmik Poornendu Kumar

Zdroj: Bulletin of the London Mathematical Society. 56:3752-3776

Témata: Mathematics - Functional Analysis, Functional analysis techniques applied to functions of several complex variables, Mathematics - Complex Variables, Integral representations, canonical kernels (Szegő, Bergman, etc.), FOS: Mathematics, approximation by inner functions, 30E10, 32A25, 32A70, 47A56, Complex Variables (math.CV), Approximation in the complex plane, integral representation of holomorphic functions with positive real part, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones), Functional Analysis (math.FA)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2311.15568
https://zbmath.org/7963323
https://doi.org/10.1112/blms.13165

Fixed point results in soft probabilistic metric spaces

Autoři: null Sonam Ramakant Bhardwaj Josika Mal a další

Zdroj: The Journal of Analysis. 33:139-166

Témata: Fixed-point theorems, Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.), Functional analysis techniques applied to functions of several complex variables, probabilistic metric space, soft sets, fixed points, Menger space, soft topological space

Popis souboru: application/xml

Hyers–Ulam stability of norm-additive functional equations via $(\delta , \epsilon )$-isometries: Hyers-Ulam stability of norm-additive functional equations via \((\delta, \epsilon)\)-isometries

Autoři: Muhammad Sarfraz Jiang Zhou Yongjin Li

Zdroj: Journal of Inequalities and Applications, Vol 2025, Iss 1, Pp 1-16 (2025)

Témata: Hyers–Ulam stability, Banach space, Perturbations of functional-differential equations, Functional analysis techniques applied to functions of several complex variables, isometry, QA1-939, norm-additive functional equations, Functional equations for functions with more general domains and/or ranges, Stability, separation, extension, and related topics for functional equations, Hyers-Ulam stability, Isometry, Norm-additive functional equations, Mathematics

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8034439
https://doi.org/10.1186/s13660-024-03233-y
https://doaj.org/article/ae7eceda9b9a4c638346eaa28278840b

The royal road to automatic noncommutative real analyticity, monotonicity, and convexity

Autoři: Pascoe, J. E. Tully-Doyle, Ryan

Zdroj: Advances in Mathematics. 407:108548

Témata: automatic analyticity, Functional analysis techniques applied to functions of several complex variables, Mathematics - Complex Variables, Several-variable operator theory (spectral, Fredholm, etc.), Loewner's theorem, Mathematics - Operator Algebras, 01 natural sciences, Noncommutative function spaces, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones), noncommutative realizations, Functional Analysis (math.FA), matrix monotone functions, Mathematics - Functional Analysis, FOS: Mathematics, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Complex Variables (math.CV), 0101 mathematics, matrix convex functions, Operator Algebras (math.OA), 46L52, 32A70, 30H10

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/1907.05875
https://zbmath.org/7574787
https://doi.org/10.1016/j.aim.2022.108548

On boundary behaviour of the Bergman projection on pseudoconvex domains

Autoři: M. Jasiczak

Zdroj: Studia Mathematica. 166:243-261

Témata: asymptotic expansion, Functional analysis techniques applied to functions of several complex variables, Integral representations, canonical kernels (Szegő, Bergman, etc.), Bergman spaces of functions in several complex variables, Boundary behavior of holomorphic functions of several complex variables, Spaces defined by inductive or projective limits (LB, LF, etc.), Strongly pseudoconvex domains, Topological linear spaces of continuous, differentiable or analytic functions, 0101 mathematics, 01 natural sciences, weighted-sup seminorms

Popis souboru: application/xml

Přístupová URL adresa: https://www.impan.pl/shop/publication/transaction/download/product/89578?download.pdf
https://zbmath.org/2120166
https://doi.org/10.4064/sm166-3-3
https://www.impan.pl/en/publishing-house/journals-and-series/studia-mathematica/all/166/3/89578/on-boundary-behaviour-of-the-bergman-projection-on-pseudoconvex-domains
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-sm166-3-3
https://www.impan.pl/shop/publication/transaction/download/product/89578?download.pdf
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/studia-mathematica/all/166/3/89578/on-boundary-behaviour-of-the-bergman-projection-on-pseudoconvex-domains

Approximation theorem for a homogeneous vector convolution equation: An approximation theorem for a homogeneous vector convolution equation.

Autoři: I F Krasichkov-Ternovskii

Zdroj: Sbornik: Mathematics. 195:1271-1289

Témata: entire function of exponential type, Functional analysis techniques applied to functions of several complex variables, Banach spaces of continuous, differentiable or analytic functions, 0103 physical sciences, convolution, Topological linear spaces of continuous, differentiable or analytic functions, 0101 mathematics, Infinite-dimensional holomorphy, approximation, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2210545
https://doi.org/10.1070/sm2004v195n09abeh000844
https://ui.adsabs.harvard.edu/abs/2004SbMat.195.1271K/abstract

Realization and interpolation for Schur–Agler-class functions on domains with matrix polynomial defining function in Cn: Realization and interpolation for Schur--Agler-class functions on domains with matrix polynomial defining function in \(\mathbb C^{n}\)

Autoři: Joseph A. Ball Vladimir Bolotnikov

Zdroj: Journal of Functional Analysis. 213:45-87

Témata: Nevanlinna--Pick problem, Schur--Agler functions, Functional analysis techniques applied to functions of several complex variables, polynomial-matrix defining function, Holomorphic, polynomial and rational approximation, and interpolation in several complex variables, Runge pairs, Polynomial-matrix defining function, 01 natural sciences, unitary realizations, Unitary realizations, Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc, Schur-Agler functions, 0101 mathematics, Nevanlinna-Pick problem, Hilbert spaces of continuous, differentiable or analytic functions, Linear operator methods in interpolation, moment and extension problems, Analysis

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2105323
https://doi.org/10.1016/j.jfa.2004.04.008
https://www.sciencedirect.com/science/article/pii/S002212360400134X
https://www.sciencedirect.com/science/article/abs/pii/S002212360400134X
http://www.math.wm.edu/~vladi/bbjfa.pdf
https://core.ac.uk/display/81167173

Topological Components of the Set of Composition Operators on $$H^\infty (B_N)$$: Topological components of the set of composition operators on \(H^\infty(B_N)\)

Autoři: Carl Toews

Zdroj: Integral Equations and Operator Theory. 48:265-280

Témata: \(H^p\)-spaces, Nevanlinna spaces of functions in several complex variables, Functional analysis techniques applied to functions of several complex variables, Bloch space, Banach spaces of continuous, differentiable or analytic functions, composition operators, Linear composition operators, uniform algebras, Hardy space, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/content/pdf/10.1007/s00020-002-1180-1.pdf
https://link.springer.com/article/10.1007/s00020-002-1180-1

Complex Neumann type boundary problem and decomposition of Lebesgue spaces: Complex Neumann type boundary problem and decomposition of Lebesgue spaces.

Autoři: Julii A. Dubinskii

Zdroj: Discrete and Continuous Dynamical Systems. 10:201-210

Témata: complex Neumann problem, Functional analysis techniques applied to functions of several complex variables, Poincaré inequality, 0103 physical sciences, Boundary value problems in the complex plane, orthogonal decomposition of Lebesgue space, 0101 mathematics, Hilbert spaces of continuous, differentiable or analytic functions, Sobolev spaces and other spaces of ''smooth' functions, embedding theorems, trace theorems, Poisson equation, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://www.aimsciences.org/article/doi/10.3934/dcds.2004.10.201

Complex interpolation between two weighted Bergman spaces on tubes over symmetric cones: Complex interpolation between two weighted Bergman spaces on tubes over symmetric cones.

Autoři: David Békollé Jocelyn Gonessa Cyrille Nana

Zdroj: Comptes Rendus. Mathématique. 337:13-18

Témata: Functional analysis techniques applied to functions of several complex variables, weighted Bergman spaces, Banach spaces of continuous, differentiable or analytic functions, Abstract interpolation of topological vector spaces, Interpolation between normed linear spaces, Bergman spaces of functions in several complex variables, atomic decomposition of functions, symmetric cones, 0101 mathematics, tube domains, complex interpolation, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1981368
https://doi.org/10.1016/s1631-073x(03)00257-7
https://www.sciencedirect.com/science/article/pii/S1631073X03002577

Properties of the ℳ-Harmonic Conjugate Operator: Properties of the \({\mathcal M}\)-harmonic conjugate operator

Autoři: Jaesung Lee Kyung Soo Rim

Zdroj: Canadian Mathematical Bulletin. 46:113-121

Témata: Integral operators, Functional analysis techniques applied to functions of several complex variables, nonisotropic Lipschitz space, boundedness, 0101 mathematics, 01 natural sciences, \(\mathcal M\)-harmonic conjugate operator, BMO

Popis souboru: application/xml

Přístupová URL adresa: https://cms.math.ca/10.4153/CMB-2003-011-x

Carathéodory-Fejér interpolation in the ball: Carathéodory--Fejér interpolation in the ball.

Autoři: Alpay, Daniel Dubi, C.

Zdroj: Linear Algebra and its Applications. 359:1-19

Témata: Complete Nevanlinnaâ€'Pick kernels, Carathéodory–Fejér interpolation, Numerical Analysis, Complete Nevanlinna–Pick kernels, Algebra and Number Theory, Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces), Functional analysis techniques applied to functions of several complex variables, Carathéodory--Fejér interpolation, Carathéodoryâ€'Fejér interpolation, 01 natural sciences, Algebra, reproducing kernel Hilbert spaces, complete Nevanlinna--Pick kernels, Discrete Mathematics and Combinatorics, Geometry and Topology, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), 0101 mathematics, Other Mathematics, Reproducing kernel Hilbert spaces, Linear operator methods in interpolation, moment and extension problems

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1886822
https://doi.org/10.1016/s0024-3795(02)00430-5
https://www.sciencedirect.com/science/article/pii/S0024379502004305
https://digitalcommons.chapman.edu/scs_articles/459/
http://www.sciencedirect.com/science/article/pii/S0024379502004305

On locally convex extension of H∞in the unit ball and continuity of the Bergman projection: On locally convex extension of \(H^{\infty}\) in the unit ball and continuity of the Bergman projection

Autoři: M. Jasiczak

Zdroj: Studia Mathematica. 156:261-275

Témata: Functional analysis techniques applied to functions of several complex variables, Integral representations, canonical kernels (Szegő, Bergman, etc.), Bergman spaces of functions in several complex variables, Spaces defined by inductive or projective limits (LB, LF, etc.), Topological linear spaces of continuous, differentiable or analytic functions, 0101 mathematics, 01 natural sciences, weighted-sup seminorms

Popis souboru: application/xml

Přístupová URL adresa: https://www.impan.pl/shop/publication/transaction/download/product/90607?download.pdf
https://www.impan.pl/en/publishing-house/journals-and-series/studia-mathematica/all/156/3/90607/on-locally-convex-extension-of-h-infty-in-the-unit-ball-and-continuity-of-the-bergman-projection
http://journals.impan.pl/cgi-bin/doi?sm156-3-4
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-sm156-3-4

A Hilbert space approach to bounded analytic extension in the ball

Autoři: Mihai Putinar Victor Vinnikov Daniel Alpay

Zdroj: Communications on Pure & Applied Analysis. 2:139-145

Témata: \(H^p\)-spaces, Nevanlinna spaces of functions in several complex variables, Functional analysis techniques applied to functions of several complex variables, Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc, Schur class, bounded analytic extension, reproducing kernel, Continuation of analytic objects in several complex variables, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2053223
https://doi.org/10.3934/cpaa.2003.2.139
https://www.aimsciences.org/article/doi/10.3934/cpaa.2003.2.139

A tangential interpolation problem on the distinguished boundary of the polydisk for the Schur–Agler class: A tangential interpolation problem on the distinguished boundary of the polydisk for the Schur--Agler class

Autoři: Vladimir Bolotnikov Joseph A. Ball

Zdroj: Journal of Mathematical Analysis and Applications. 273:328-348

Témata: Functional analysis techniques applied to functions of several complex variables, characteristic functions of operator colligations, Applied Mathematics, Multidimensional problems, Linear fractional parametrization, 02 engineering and technology, 01 natural sciences, interpolation, Schur-Agler class, Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc, Boundary interpolation, 0202 electrical engineering, electronic engineering, information engineering, Schur–Agler functions, 0101 mathematics, Analysis

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0022247X02002263
http://www.math.wm.edu/~vladi/bb2.pdf

The range of linear fractional maps on the unit ball

Autoři: Alexander E. Richman

Zdroj: Proceedings of the American Mathematical Society. 131:889-895

Témata: Linear operators on spaces with an indefinite metric, Functional analysis techniques applied to functions of several complex variables, linear fractional maps, Krein space, Boundary behavior of holomorphic functions of several complex variables, 0101 mathematics, 01 natural sciences, unit ball

Popis souboru: application/xml

Přístupová URL adresa: https://www.ams.org/proc/2003-131-03/S0002-9939-02-06596-6/S0002-9939-02-06596-6.pdf
https://zbmath.org/1832440
https://doi.org/10.1090/s0002-9939-02-06596-6
https://www.ams.org/journals/proc/2003-131-03/S0002-9939-02-06596-6/home.html
https://www.jstor.org/stable/1194492
https://www.ams.org/proc/2003-131-03/S0002-9939-02-06596-6/S0002-9939-02-06596-6.pdf

Some finite-dimensional backward-shift-invariant subspaces in the ball and a related interpolation problem

Autoři: H. Turgay Kaptanoğlu Daniel Alpay

Zdroj: Integral Equations and Operator Theory. 42:1-21

Témata: Functional analysis techniques applied to functions of several complex variables, Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces), Gleason's problem, reproducing kernel, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), 0101 mathematics, Linear operator methods in interpolation, moment and extension problems, 01 natural sciences, interpolation, backward-shift operator

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1708935
https://doi.org/10.1007/bf01203020
https://link.springer.com/content/pdf/10.1007/BF01203020.pdf
https://link.springer.com/article/10.1007%2FBF01203020

The Schur algorithm and reproducing kernel Hilbert spaces in the ball

Autoři: Alpay, Daniel Bolotnikov, Vladimir KaptanoÄŸlu, H. Turgay

Zdroj: Linear Algebra and its Applications. 342:163-186

Témata: Schur algorithm, Numerical Analysis, Algebra and Number Theory, Functional analysis techniques applied to functions of several complex variables, Unit ball, Nevanlinna-Pick interpolation problem, 01 natural sciences, Schur-type algorithm, Algebra, reproducing kernel methods, Leech's theorem, Discrete Mathematics and Combinatorics, Geometry and Topology, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), 0101 mathematics, Other Mathematics, Linear operator methods in interpolation, moment and extension problems

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1741567
https://doi.org/10.1016/s0024-3795(01)00448-7
https://www.sciencedirect.com/science/article/abs/pii/S0024379501004487
https://digitalcommons.chapman.edu/scs_articles/461/
https://avesis.metu.edu.tr/yayin/6c79c99e-2ce5-432b-91a6-c54a214a68b9/the-schur-algorithm-and-reproducing-kernel-hilbert-spaces-in-the-ball
https://www.sciencedirect.com/science/article/pii/S0024379501004487
http://www.fen.bilkent.edu.tr/~kaptan/Files/schur.pdf

Generalization of a Theorem of Bohr for Bases in Spaces of Holomorphic Functions of Several Complex Variables: Generalization of a theorem of Bohr for bases in spaces of holomorphic functions of several complex variables

Autoři: Aydın Aytuna Lev Aizenberg Plamen Djakov

Zdroj: Journal of Mathematical Analysis and Applications. 258:429-447

Témata: Bohr property, Functional analysis techniques applied to functions of several complex variables, Holomorphic functions of several complex variables, Applied Mathematics, Topological linear spaces of continuous, differentiable or analytic functions, spaces of holomorphic functions, 0101 mathematics, Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)), JFM 44.0289.01, 01 natural sciences, Analysis

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0022247X00973554
http://www.sciencedirect.com/science/article/pii/S0022247X00973554
https://core.ac.uk/display/82392547

Uniqueness theorems for analytic vector-valued functions

Autoři: Emmanuel Fricain

Zdroj: Journal of Mathematical Sciences. 101:3193-3210

Témata: uniqueness theorem of Nikolskii, Spaces of vector- and operator-valued functions, Functional analysis techniques applied to functions of several complex variables, 0101 mathematics, Hilbert spaces of continuous, differentiable or analytic functions, Hilbert space of analytic functions, Berezin transformation, 01 natural sciences, distance functions

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1007/BF02673744