| 书目名称 | Decay of the Fourier Transform |
| 副标题 | Analytic and Geometr |
| 编辑 | Alex Iosevich,Elijah Liflyand |
| 视频video | |
| 概述 | Only book where the decay rate of the Fourier transform is the dominant theme.Systematic examination of the concepts.Focus on interaction between the analytic and geometric approaches of Fourier theor |
| 图书封面 |  |
| 描述 | The Plancherel formula says that the .L.^2 norm of the function is equal to the .L.^2 norm of its Fourier transform. This implies that at least on average, the Fourier transform of an .L.^2 function decays at infinity. This book is dedicated to the study of the rate of this decay under various assumptions and circumstances, far beyond the original .L.^2 setting. Analytic and geometric properties of the underlying functions interact in a seamless symbiosis which underlines the wide range influences and applications of the concepts under consideration. |
| 出版日期 | Book 2014 |
| 关键词 | Fourier transform; bounded variation; curvature; decay rate; spherical average |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-0348-0625-1 |
| isbn_ebook | 978-3-0348-0625-1 |
| copyright | Springer Basel 2014 |
发表于 2025-3-21 16:11:06
