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Probabilistic Techniques in Analysis
Buch von Richard F. Bass
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung
New Series
Details
Erscheinungsjahr: 1994
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 408
Reihe: Probability and Its Applications
Inhalt: xii
392 S.
12 s/w Illustr.
ISBN-13: 9780387943879
ISBN-10: 0387943870
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Bass, Richard F.
Auflage: 1995
Hersteller: Springer US
Springer New York
Probability and Its Applications
Maße: 241 x 160 x 28 mm
Von/Mit: Richard F. Bass
Erscheinungsdatum: 16.12.1994
Gewicht: 0,776 kg
preigu-id: 101822958
Zusammenfassung
New Series
Details
Erscheinungsjahr: 1994
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 408
Reihe: Probability and Its Applications
Inhalt: xii
392 S.
12 s/w Illustr.
ISBN-13: 9780387943879
ISBN-10: 0387943870
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Bass, Richard F.
Auflage: 1995
Hersteller: Springer US
Springer New York
Probability and Its Applications
Maße: 241 x 160 x 28 mm
Von/Mit: Richard F. Bass
Erscheinungsdatum: 16.12.1994
Gewicht: 0,776 kg
preigu-id: 101822958
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