Probabilistic Techniques in Analysis pdf epub mobi txt 电子书下载 2024

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Bass, R.

Springer Verlag

1994-12

420

$ 129.95

HRD

Probability and its Applications- A Series of the Applied Probability Trust

9780387943879

图书标签: 数学 Math

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发表于2024-11-27

Probabilistic Techniques in Analysis epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Probabilistic Techniques in Analysis pdf epub mobi txt 电子书下载 2024

图书描述

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.

Probabilistic Techniques in Analysis 下载 mobi epub pdf txt 电子书