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Probabilistic Techniques in Analysis

Probabilistic Techniques in Analysis

Hardcover

Series: Probability and Its Applications

General MathematicsProbability & Statistics

ISBN10: 0387943870
ISBN13: 9780387943879
Publisher: Springer Nature
Published: Dec 16 1994
Pages: 392
Weight: 1.67
Height: 1.05 Width: 6.43 Depth: 9.56
Language: English
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.

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General Mathematics