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Banach Spaces of Analytic Functions

theory. Close in spirit to abstract harmonic analysis, it is confined to Banach spaces of analytic functions in the unit disc.The author;

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Sub-Hardy Hilbert Spaces In The Unit Disk

of Hilbert spaces of holomorphic functions in the unit disk. Besides possessing a fascinating internal structure, they play a role in several basic;

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Complex Analysis

of holomorphic functions, the Bergman kernel, and unbounded operators on Hilbert spaces to tackle the theory of several variables, in particular the;

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Analytic Hilbert Modules

The seminal 1989 work of Douglas and Paulsen on the theory of analytic Hilbert modules precipitated a number of major research efforts;

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Function Classes on the Unit Disc

This revised and extended edition of a well-established monograph in function theory contains a study on various function classes on the;

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Functional Analysis

This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral;

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Functional Analysis

This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral;

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Functional Analysis

This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral;

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Composition Operators on Spaces of Analytic Functions

The study of composition operators lies at the interface of analytic function theory and operator theory. Composition Operators on Spaces;

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The Dirichlet Space and Related Function Spaces

on Besov spaces of holomorphic functions on the complex unit ball, a class of Banach spaces generalizing the Dirichlet space. Additional;

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Hilbert Space Methods in Signal Processing

action, considering signal processing on the unit sphere, as well as reproducing kernel Hilbert spaces. The text is interspersed with historical;

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The Backward Shift on the Hardy Space

Shift operators on Hilbert spaces of analytic functions play an important role in the study of bounded linear operators on Hilbert spaces;

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Analytic Function Spaces

The core of this book are Banach spaces of analytic functions on the unit disk. Not only do we study how operators like composition;

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Numerical Range of Holomorphic Mappings and Applications

spectrum of closed densely defined linear operators are then discussed in more detail and an overview of ergodic theory is presented. The analytic;

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Descriptive Theory of Sets and Functions. Functional Analysis in Semi-ordered Spaces

spaces, to demonstrate the unity of L.V. Kantorovich's creative research. It also includes two papers on the "extension of Hilbert space".;

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Function Theory and $ell ^p$ Spaces

sets, extremal functions, multipliers, operator theory) of the associated spaces $ell^{p}_{A}$ of analytic functions whose Taylor coefficients;

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London Mathematical Society Lecture Note Series

in several complex variables, with special emphasis on the unit ball in Cn. Topics covered include Poisson-Szegoe integrals on the ball, the Green's;

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Extended Abstracts Fall 2019: Spaces of Analytic Functions

This book collects the abstracts of the mini-courses and lectures given during the Intensive Research Program Spaces of Analytic;

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An Introduction to Hilbert Space

This textbook is an introduction to the theory of Hilbert space and its applications. The notion of Hilbert space is central in functional;

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Hilbert Spaces

engineering problems. It first provides some general viewpoints on convex sets, projections, and orthogonality in Hilbert spaces and then focuses on;

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Operator Extensions, Interpolation of Functions and Related Topics

This careful selection of participant contributions reflects the focus of the 14th International Conference on Operator Theory, held;

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Real Analysis and Probability

, integration, an introduction to functional analysis in Banach and Hilbert spaces, convex sets and functions and measure on topological spaces. The;

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Real Analysis and Probability

, integration, an introduction to functional analysis in Banach and Hilbert spaces, convex sets and functions and measure on topological spaces. The;

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Cambridge Studies in Advanced Mathematics

, integration, an introduction to functional analysis in Banach and Hilbert spaces, convex sets and functions and measure on topological spaces. The;

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Uniform Central Limit Theorems

, integration, an introduction to functional analysis in Banach and Hilbert spaces, convex sets and functions and measure on topological spaces. The;

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The Hilbert Transform Of Schwartz Distributions And Applications

. Placing a strong emphasis on easy application of theory and techniques, the book generalizes the Hilbert problem in higher dimensions and solves;

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