Probabilistic Techniques in Analysis 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2025

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Bass, R. 作者

Springer Verlag

译者

1994-12 出版日期

420 页数

$ 129.95 价格

HRD

Probability and its Applications- A Series of the Applied Probability Trust 丛书系列

9780387943879 图书编码

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Probabilistic Techniques in Analysis 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2025

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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.

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