9780387943879-0387943870-Probabilistic Techniques in Analysis (Probability and Its Applications)

Probabilistic Techniques in Analysis (Probability and Its Applications)

ISBN-13: 9780387943879
ISBN-10: 0387943870
Edition: 1995
Author: Bass, Richard F.
Publication date: 1994
Publisher: Springer
Format: Hardcover 404 pages
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Book details

ISBN-13: 9780387943879
ISBN-10: 0387943870
Edition: 1995
Author: Bass, Richard F.
Publication date: 1994
Publisher: Springer
Format: Hardcover 404 pages

Summary

Acknowledged authors Bass, Richard F. wrote Probabilistic Techniques in Analysis (Probability and Its Applications) comprising 404 pages back in 1994. Textbook and eTextbook are published under ISBN 0387943870 and 9780387943879. Since then Probabilistic Techniques in Analysis (Probability and Its Applications) textbook was available to sell back to BooksRun online for the top buyback price or rent at the marketplace.

Description

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.

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