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" Geometric Qp functions / "
Jie Xiao.
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BL
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| Record Number
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989001
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| Doc. No
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b743371
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| Main Entry
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Xiao, Jie,1963-
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| Title & Author
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Geometric Qp functions /\ Jie Xiao.
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| Publication Statement
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Basel ;Boston :: Birkhäuser,, ©2006.
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| Series Statement
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Frontiers in mathematics
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| Page. NO
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1 online resource (x, 240 pages)
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| ISBN
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3764377623
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: 3764377631
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: 9783764377625
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: 9783764377632
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| Bibliographies/Indexes
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Includes bibliographical references (pages 227-237) and index.
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| Contents
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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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| 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.
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| Subject
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Functions of complex variables.
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Holomorphic functions.
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Integration, Functional.
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Functions of complex variables.
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Holomorphic functions.
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Integration, Functional.
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MATHEMATICS-- Complex Analysis.
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Functions of complex variables.
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Holomorphic functions.
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Integration, Functional.
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| Dewey Classification
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515/.98
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| LC Classification
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QA312.X95 2006eb
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| NLM classification
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O174. 5clc
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