| 书目名称 | Functions of Bounded Variation and Their Fourier Transforms |
| 编辑 | Elijah Liflyand |
| 视频video | |
| 概述 | Covers almost all the aspects of the behavior of the Fourier transforms of functions of bounded variation.Many known and new spaces are considered.A must to read for those who are interested in functi |
| 丛书名称 | Applied and Numerical Harmonic Analysis |
| 图书封面 |  |
| 描述 | .Functions of bounded variation represent an important class of functions. Studying their Fourier transforms is a valuable means of revealing their analytic properties. Moreover, it brings to light new interrelations between these functions and the real Hardy space and, correspondingly, between the Fourier transform and the Hilbert transform. ..This book is divided into two major parts, the first of which addresses several aspects of the behavior of the Fourier transform of a function of bounded variation in dimension one. In turn, the second part examines the Fourier transforms of multivariate functions with bounded Hardy variation. The results obtained are subsequently applicable to problems in approximation theory, summability of the Fourier series and integrability of trigonometric series. . |
| 出版日期 | Book 2019 |
| 关键词 | bounded variation; cosine and sine fourier transforms; hardy space; hilbert transform; integrability; asy |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-04429-9 |
| isbn_ebook | 978-3-030-04429-9Series ISSN 2296-5009 Series E-ISSN 2296-5017 |
| issn_series | 2296-5009 |
| copyright | Springer Nature Switzerland AG 2019 |
发表于 2025-3-21 16:22:12
