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Geometric Qp Functions (Frontiers in Mathematics)

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Geometric Qp Functions (Frontiers in Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

This book documents the rich structure of the holomorphic Q function spaces which are geometric in the sense that they transform naturally under conformal mappings, with particular emphasis on recent development based on interaction between geometric function and measure theory and other branches of mathematical analysis, including potential theory, harmonic analysis, functional analysis, and operator theory. Largely self-contained, the book functions as an instructional and reference work for advanced courses and research in conformal analysis, geometry, and function spaces. Self-contained, the book functions as an instructional and reference work for advanced courses and research in conformal analysis, geometry, and function spaces.

Synopsis:

This book documents the rich structure of the holomorphic Q functions which are geometric in the sense that they transform naturally under conformal mappings. Particular emphasis is placed on recent developments based on the interaction between geometric function / measure theory and other branches of mathematical analysis, including potential theory, complex variables, harmonic analysis, functional analysis, and operator theory.

Largely self-contained, this book will be an instructional and reference work for advanced courses and research in conformal analysis, geometry, and function spaces.

Table of Contents

Preface.- Preliminaries.- Poisson versus Berezin with Generalizations.- Isomorphism, Decomposition and Discreteness.- Invariant Preduality through Hausdorff Capacity.- Cauchy Pairing with Expressions and Extremities.- As Symbols of Hankel and Volterra Operators.- Estimates for Growth and Decay.- Holomorphic Q-Classes on Hyperbolic Riemann Surfaces.- References.- Index.

Product Details

ISBN:
9783764377625
Author:
Xiao, Jie
Publisher:
Birkhauser
Subject:
Geometry - General
Subject:
Mathematics-Geometry and Trigonometry
Subject:
Conformally invariant
Subject:
Complex Analysis
Subject:
Geometry
Copyright:
Edition Description:
Book
Series:
Frontiers in Mathematics
Publication Date:
20061019
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
250
Dimensions:
240 x 170 mm

Related Subjects

Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry
Science and Mathematics » Mathematics » Real Analysis

Geometric Qp Functions (Frontiers in Mathematics) New Trade Paper
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$77.50 In Stock
Product details 250 pages Not Avail - English 9783764377625 Reviews:
"Synopsis" by , This book documents the rich structure of the holomorphic Q functions which are geometric in the sense that they transform naturally under conformal mappings. Particular emphasis is placed on recent developments based on the interaction between geometric function / measure theory and other branches of mathematical analysis, including potential theory, complex variables, harmonic analysis, functional analysis, and operator theory.

Largely self-contained, this book will be an instructional and reference work for advanced courses and research in conformal analysis, geometry, and function spaces.

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