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Probabilistic Techniques in Analysis

Name: Probabilistic Techniques in Analysis
Brand: Springer New York
SKU: 04066990
Price: 48603 HUF
Availability: InStock
Author: Richard Bass
ISBN: 9780387943879

Richard Bass

Language

English

Book Hardback

Libristo code: 04066990

Publishers Springer New York, January 1995

In recent years, there has been an upsurge of interest in using techniques drawn from probability to... Full description

Libristo code: 04066990

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In recent years, there has been an upsurge of interest in using techniques drawn from probability to tackle problems in analysis. These applications arise in subjects such as potential theory, harmonic analysis, singular integrals, and the study of analytic functions. This book presents a modern survey of these methods at the level of a beginning Ph.D. student. Highlights of this book include the construction of the Martin boundary, probabilistic proofs of the boundary Harnack principle, Dahlberg's theorem, a probabilistic proof of Riesz' theorem on the Hilbert transform, and Makarov's theorems on the support of harmonic measure.The author assumes that a reader has some background in basic real analysis, but the book includes proofs of all the results from probability theory and advanced analysis required. Each chapter concludes with exercises ranging from the routine to the difficult. In addition, there are included discussions of open problems and further avenues of research.