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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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Some Notes on the Theory of Hilbert Spaces of Analytic Functions of the Unit Disc

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The Dirichlet Space and Related Function Spaces

classical Dirichlet space, a space of holomorphic functions on the unit disk defined by a smoothness criterion. The Dirichlet space is also a;

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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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Representation Theorems in Hardy Spaces

classes of Hardy spaces: Hardy spaces of the open unit disc and Hardy spaces of the upper half plane. With over 300 exercises, many with;

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Representation Theorems in Hardy Spaces

classes of Hardy spaces: Hardy spaces of the open unit disc and Hardy spaces of the upper half plane. With over 300 exercises, many with;

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Primer On The Dirichlet Space

The Dirichlet space is one of the three fundamental Hilbert spaces of holomorphic functions on the unit disk. It boasts a rich and;

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Hilbert Spaces

the mild solutions, the stability, and the controllability of various classes of differential equations in Hilbert spaces and applications. It;

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Laminational Models for Some Spaces of Polynomials of Any Degree

in the language of geodesic laminations. The combinatorial model is the quotient space of the unit disk under an equivalence relation that;

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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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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

. Starting from a dedicated chapter on the axiom of choice, subsequent chapters cover Hilbert spaces, linear operators, functionals and duality;

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From Euclidean to Hilbert Spaces - Introduction to Functional Analysis and its Applications

From Euclidian to Hilbert Spaces analyzes the transition from finite dimensional Euclidian spaces to infinite-dimensional Hilbert spaces, a;

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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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Numerical Range of Holomorphic Mappings and Applications

extension of semigroups of linear operators is also discussed. The recent study of the numerical range of composition operators on the unit disk;

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Topology of Infinite Dimensional Manifolds

. In this book, the following spaces are considered model spaces: Hilbert space (or non-separable Hilbert spaces), the Hilbert cube, dense subspaces;

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Topology of Infinite Dimensional Manifolds

. In this book, the following spaces are considered model spaces: Hilbert space (or non-separable Hilbert spaces), the Hilbert cube, dense subspaces;

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Fixed Points of Nonlinear Operators

mappings, pseudo-contrations in Hilbert Spaces and in Banach Spaces. Iterative methods of zeros for accretive mappings in Banach Spaces and;

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Functions of One Complex Variable II

maps, de Branges' proof of the Bieberbach conjecture, harmonic functions, Hardy spaces on the disk, potential theory in the plane. A knowledge;

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Kato's Type Inequalities for Bounded Linear Operators in Hilbert Spaces

The aim of this book is to present results related to Kato's famous inequality for bounded linear operators on complex Hilbert spaces;

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Inequalities

of Hardy and of Hilbert, hypercontractive and logarithmic Sobolev inequalities, Beckner's inequality, and many, many more. The inequalities are;

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Inequalities Journey Into Linear Analys

of Hardy and of Hilbert, hypercontractive and logarithmic Sobolev inequalities, Beckner's inequality, and many, many more. The inequalities are;

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Handbook of Analytic Operator Theory

covered include Bergman spaces, Hardy spaces, Fock spaces and the Drury-Averson space. Operators discussed in the book include Toeplitz operators;

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Banach, Frechet, Hilbert and Neumann Spaces

is on normed or semi-normed vector spaces, including the spaces of Banach, Frechet and Hilbert, with new developments on Neumann spaces, but;

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A First Course in Functional Analysis

A First Course in Functional Analysis lucidly covers Banach spaces, continuous linear functionals, the basic theorems of bounded linear;

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