| 书目名称 | Gaussian Harmonic Analysis |
| 编辑 | Wilfredo Urbina-Romero |
| 视频video | |
| 概述 | Updated and self-contained exposition of all topics of Gaussian harmonic analysis that up to now are mostly scattered in research papers and sections of books.Gaussian harmonic analysis may serve as a |
| 丛书名称 | Springer Monographs in Mathematics |
| 图书封面 |  |
| 描述 | .Authored by a ranking authority in Gaussian harmonic analysis, this book embodies a state-of-the-art entrée at the intersection of two important fields of research: harmonic analysis and probability. The book is intended for a very diverse audience, from graduate students all the way to researchers working in a broad spectrum of areas in analysis. Written with the graduate student in mind, it is assumed that the reader has familiarity with the basics of real analysis as well as with classical harmonic analysis, including Calderón-Zygmund theory; also some knowledge of basic orthogonal polynomials theory would be convenient. The monograph develops the main topics of classical harmonic analysis (semigroups, covering lemmas, maximal functions, Littlewood-Paley functions, spectral multipliers, fractional integrals and fractional derivatives, singular integrals) with respect to the Gaussian measure. The text provide an updated exposition, as self-contained as possible, of all the topics in Gaussian harmonic analysis that up to now are mostly scattered in research papers and sections of books; also an exhaustive bibliography for further reading. Each chapter ends with a section of no |
| 出版日期 | Book 2019 |
| 关键词 | Gaussian measure; Hermite polynomial expansions; Ornstein-Uhlenbeck operator; Ornstein-Uhlenbeck semigr |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-05597-4 |
| isbn_ebook | 978-3-030-05597-4Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
| issn_series | 1439-7382 |
| copyright | Springer Nature Switzerland AG 2019 |
发表于 2025-3-21 17:25:28
