株式会社極東書店トップ ＞ 商品一覧 ＞ Probabilistic Techniques in Analysis. 1995 ed..
商品詳細
Probabilistic Techniques in Analysis. 1995 ed..
・ISBN 978-0-387-94387-9 hard EUR 119.99
￥32,072.- (税込) ※（※）価格はご注文時の参考価格となります。
納品価格につきましては書籍の入荷時点で確定となります。
版元の原価改定、外国為替の変動等により異なる場合がございますので、予めご了承下さい。
お気に入り
★★★
| 著者・編者 | Bass, Richard F., |
|---|---|
| シリーズ | Probability and Its Applications |
| 出版社 | (Springer-Verlag New York Inc., US) |
| 出版年月 | 1994 |
| ページ数 | 392 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-21894＞ |
解説
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.
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.