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Spaces of Holomorphic Functions in the Unit Ball

Can be used as a graduate text Contains many exercises Contains new results;...

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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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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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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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Holomorphic Spaces

Spaces of holomorphic functions have been a prominent theme in analysis since early in the twentieth century. Of interest to complex;

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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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Elements of Geometry of Balls in Banach Spaces

One of the subjects of functional analysis is classification of Banach spaces depending on various properties of the unit ball. The need;

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Holomorphic Foliations with Singularities

projective spaces. A final chapter brings recent questions in the field, as holomorphic flows on Stein spaces and transversely homogeneous;

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Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces

colligations whose state spaces are reproduced kernal Pontryagin spaces. This provides a modern system theory setting for the relationship between;

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Interpolation, Schur Functions and Moment Problems II

holomorphic contractive function on the unit disk. These sequences are now known as Schur parameter sequences. Schur analysis has grown significantly;

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Mathematical Sciences Research Institute Publications

Spaces of holomorphic functions have been a prominent theme in analysis since early in the twentieth century. Of interest to complex;

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

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Cambridge Studies in Advanced Mathematics

This book, first published in 2000, is a comprehensive introduction to holomorphic dynamics, that is the dynamics induced by the iteration;

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Extension of Holomorphic Functions

This second extended edition of the classic reference on the extension problem of holomorphic functions in pluricomplex analysis contains a;

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Numerical Range of Holomorphic Mappings and Applications

This book describes recent developments as well as some classical results regarding holomorphic mappings. The book starts with a brief;

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Holomorphy and Calculus in Normed Spaces

This book presents a systematic introduction to the theory of holomorphic mappings in normed spaces which has been scattered throughout the;

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Lineability

families of holomorphic (or analytic) functions defined on some domain of the complex plane. It next focuses on spaces of sequences and spaces;

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Lineability

families of holomorphic (or analytic) functions defined on some domain of the complex plane. It next focuses on spaces of sequences and spaces;

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Toric Varieties in Several Complex Variables

The present book deals with integral representations for holomorphic functions of several complex variables and holomorphic extensions;

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The Schwarz Lemma

The Schwarz lemma is among the simplest results in complex analysis that capture the rigidity of holomorphic functions. This self-contained;

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Complex Analysis and Geometry

knowledge in complex analysis and geometry of analytic spaces and holomorphic functions which were hidden in the case of complex dimension one;

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Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)

This book has as its subject the boundary value theory of holomorphic functions in several complex variables, a topic that is just now;

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Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)

This book has as its subject the boundary value theory of holomorphic functions in several complex variables, a topic that is just now;

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Linear and Multilinear Algebra and Function Spaces

of holomorphic or harmonic functions, including biduality in weighted spaces of analytic functions, interpolation in the analytic Wiener algebra, and;

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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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