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Geometric Qp functions

Author: Jie Xiao
Publisher: Basel ; Boston : Birkhäuser, ©2006.
Series: Frontiers in mathematics.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"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  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Jie Xiao
ISBN: 3764377623 9783764377625 9783764377632 3764377631
OCLC Number: 71173868
Description: x, 240 pages ; 24 cm.
Contents: 1. Preliminaries --
2. Poisson versus Berezin with generalizations --
3. Isomorphism, decomposition and discreteness --
4. Invariant preduality through Hausdorff capacity --
5. Cauchy pairing with expressions and extremities --
6. As symbols of Hankel and Volterra operators --
7. Estimates for growth and decay --
8. Holomorphic Q-classes on hyperbolic Riemann surfaces.
Series Title: Frontiers in mathematics.
Responsibility: Jie Xiao.
More information:

Abstract:

This book documents the rich structure of the holomorphic Q function spaces which are geometric because they transform naturally under conformal mappings, emphasizing recent development based on  Read more...

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