Includes bibliographical references (pages 227-237) and index.
CONTENTS NOTE
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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.
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SUMMARY OR ABSTRACT
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"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, or function spaces."--Jacket.