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Geometric QP Functions [electronic resource] /by Jie Xiao.

by Xiao, Jie [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Frontiers in Mathematics: Publisher: Basel : Birkhäuser Basel, 2006.Description: X, 240 p. online resource.ISBN: 9783764377632.Subject(s): Mathematics | Geometry | Mathematics | GeometryDDC classification: 516 Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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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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.

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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