Representation Theorems For Hardy Spaces

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Representation Theorems In Hardy Spaces

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Author : Javad Mashreghi
language : en
Publisher: Cambridge University Press
Release Date : 2009-03-19

Representation Theorems In Hardy Spaces written by Javad Mashreghi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-19 with Mathematics categories.

This self-contained text provides an introduction to a wide range of representation theorems and provides a complete description of the representation theorems with direct proofs for both classes of Hardy spaces: Hardy spaces of the open unit disc and Hardy spaces of the upper half plane.

On Representation Theorems For Hardy Spaces In Several Complex Variables

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Author : Thomas Hansson
language : en
Publisher:
Release Date : 1997

On Representation Theorems For Hardy Spaces In Several Complex Variables written by Thomas Hansson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.

Lectures On Analytic Function Spaces And Their Applications

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Author : Javad Mashreghi
language : en
Publisher: Springer Nature
Release Date : 2023-10-13

Lectures On Analytic Function Spaces And Their Applications written by Javad Mashreghi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-13 with Mathematics categories.

The focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021. Hilbert spaces of analytic functions form one of the pillars of complex analysis. These spaces have a rich structure and for more than a century have been studied by many prominent mathematicians. They have essential applications in other fields of mathematics and engineering. The most important Hilbert space of analytic functions is the Hardy class H2. However, its close cousins—the Bergman space A2, the Dirichlet space D, the model subspaces Kt, and the de Branges-Rovnyak spaces H(b)—have also garnered attention in recent decades. Leading experts on function spaces gathered and discussed new achievements and future venues of research on analytic function spaces, their operators, and their applications in other domains. With over 250 hours of lectures by prominent mathematicians, the program spanned a wide variety of topics. More explicitly, there were courses and workshops on Interpolation and Sampling, Riesz Bases, Frames and Signal Processing, Bounded Mean Oscillation, de Branges-Rovnyak Spaces, Blaschke Products and Inner Functions, and Convergence of Scattering Data and Non-linear Fourier Transform, among others. At the end of each week, there was a high-profile colloquium talk on the current topic. The program also contained two advanced courses on Schramm Loewner Evolution and Lattice Models and Reproducing Kernel Hilbert Space of Analytic Functions. This volume features the courses given on Hardy Spaces, Dirichlet Spaces, Bergman Spaces, Model Spaces, Operators on Function Spaces, Truncated Toeplitz Operators, Semigroups of weighted composition operators on spaces of holomorphic functions, the Corona Problem, Non-commutative Function Theory, and Drury-Arveson Space. This volume is a valuable resource for researchers interested in analytic function spaces.

Representation Theorems For Hardy Spaces

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Author :
language : en
Publisher:
Release Date : 1980

Representation Theorems For Hardy Spaces written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.

The Dirichlet Space And Related Function Spaces

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Author : Nicola Arcozzi
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-09-03

The Dirichlet Space And Related Function Spaces written by Nicola Arcozzi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-03 with Mathematics categories.

The study of the classical Dirichlet space is one of the central topics on the intersection of the theory of holomorphic functions and functional analysis. It was introduced about100 years ago and continues to be an area of active current research. The theory is related to such important themes as multipliers, reproducing kernels, and Besov spaces, among others. The authors present the theory of the Dirichlet space and related spaces starting with classical results and including some quite recent achievements like Dirichlet-type spaces of functions in several complex variables and the corona problem. The first part of this book is an introduction to the function theory and operator theory of the classical Dirichlet space, a space of holomorphic functions on the unit disk defined by a smoothness criterion. The Dirichlet space is also a Hilbert space with a reproducing kernel, and is the model for the dyadic Dirichlet space, a sequence space defined on the dyadic tree. These various viewpoints are used to study a range of topics including the Pick property, multipliers, Carleson measures, boundary values, zero sets, interpolating sequences, the local Dirichlet integral, shift invariant subspaces, and Hankel forms. Recurring themes include analogies, sometimes weak and sometimes strong, with the classical Hardy space; and the analogy with the dyadic Dirichlet space. The final chapters of the book focus on Besov spaces of holomorphic functions on the complex unit ball, a class of Banach spaces generalizing the Dirichlet space. Additional techniques are developed to work with the nonisotropic complex geometry, including a useful invariant definition of local oscillation and a sophisticated variation on the dyadic Dirichlet space. Descriptions are obtained of multipliers, Carleson measures, interpolating sequences, and multiplier interpolating sequences; estimates are obtained to prove corona theorems.

Compact Matrix Quantum Groups And Their Combinatorics

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Author : Amaury Freslon
language : en
Publisher: Cambridge University Press
Release Date : 2023-07-27

Compact Matrix Quantum Groups And Their Combinatorics written by Amaury Freslon and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-27 with Mathematics categories.

An organised step-by-step introduction to the theory of compact quantum groups, starting with examples coming from quantum physics, which stems from the basic undergraduate mathematics curriculum. Introducing more abstract concepts along the way when needed, the reader is led from the fundamentals of the theory to recent research results. The emphasis is put on the combinatorics underlying compact quantum groups, which is very elementary to describe but leads to profound results. This book includes many exercises to help students work through new concepts and ideas and consolidate their understanding. The theory itself is illustrated by an array of examples, some related to other fields of Mathematics such as free probability theory or graph theory. The book is intended for graduate students, motivated undergraduate students and researchers.

K Nneth Geometry

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Author : M. J. D. Hamilton
language : en
Publisher: Cambridge University Press
Release Date : 2023-12-21

K Nneth Geometry written by M. J. D. Hamilton and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-21 with Mathematics categories.

This clear and elegant text introduces Künneth, or bi-Lagrangian, geometry from the foundations up, beginning with a rapid introduction to symplectic geometry at a level suitable for undergraduate students. Unlike other books on this topic, it includes a systematic development of the foundations of Lagrangian foliations. The latter half of the text discusses Künneth geometry from the point of view of basic differential topology, featuring both new expositions of standard material and new material that has not previously appeared in book form. This subject, which has many interesting uses and applications in physics, is developed ab initio, without assuming any previous knowledge of pseudo-Riemannian or para-complex geometry. This book will serve both as a reference work for researchers, and as an invitation for graduate students to explore this field, with open problems included as inspiration for future research.

Inverse Problems And Data Assimilation

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Author : Daniel Sanz-Alonso
language : en
Publisher: Cambridge University Press
Release Date : 2023-08-10

Inverse Problems And Data Assimilation written by Daniel Sanz-Alonso and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-10 with Computers categories.

A clear and concise mathematical introduction to the subjects of inverse problems and data assimilation, and their inter-relations.

Semigroups Of Linear Operators

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Author : David Applebaum
language : en
Publisher: Cambridge University Press
Release Date : 2019-08-15

Semigroups Of Linear Operators written by David Applebaum and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-15 with Mathematics categories.

Provides a graduate-level introduction to the theory of semigroups of operators.

The Schur Algorithm Reproducing Kernel Spaces And System Theory

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Author : Daniel Alpay
language : en
Publisher: American Mathematical Soc.
Release Date : 2001

The Schur Algorithm Reproducing Kernel Spaces And System Theory written by Daniel Alpay and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Computers categories.

Looks at matrix-valued Schur functions and their applications from the unifying point of view of space with reproducing kernels to study the relationship between the modeling of time-invariant dissipative linear systems and the theory of linear operators. Chapters cover reproducing kernel spaces, theory of linear systems, the Schur algorithm and the inverse scattering problem, operator models, interpolation, the indefinite case, the non-stationary case, and Riemann surfaces. Originally published in French by Societe Mathematique de France, 1998. Translated from the French by Stephen S. Wilson. Author information is not given. c. Book News Inc.