| 书目名称 | The Uncertainty Principle in Harmonic Analysis |
| 编辑 | Victor Havin,Burglind Jöricke |
| 视频video | |
| 丛书名称 | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathemati |
| 图书封面 |  |
| 描述 | The present book is a collection of variations on a theme which can be summed up as follows: It is impossible for a non-zero function and its Fourier transform to be simultaneously very small. In other words, the approximate equalities x :::::: y and x :::::: fj cannot hold, at the same time and with a high degree of accuracy, unless the functions x and yare identical. Any information gained about x (in the form of a good approximation y) has to be paid for by a corresponding loss of control on x, and vice versa. Such is, roughly speaking, the import of the Uncertainty Principle (or UP for short) referred to in the title ofthis book. That principle has an unmistakable kinship with its namesake in physics - Heisenberg‘s famous Uncertainty Principle - and may indeed be regarded as providing one of mathematical interpretations for the latter. But we mention these links with Quantum Mechanics and other connections with physics and engineering only for their inspirational value, and hasten to reassure the reader that at no point in this book will he be led beyond the world of purely mathematical facts. Actually, the portion of this world charted in our book is sufficiently vast, even th |
| 出版日期 | Book 1994 |
| 关键词 | Fourier transform; Fouriertransformation; Newton Potential; Potential; Quasi-Analysierbarkeit; Quasianaly |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-78377-7 |
| isbn_softcover | 978-3-642-78379-1 |
| isbn_ebook | 978-3-642-78377-7Series ISSN 0071-1136 Series E-ISSN 2197-5655 |
| issn_series | 0071-1136 |
| copyright | Springer-Verlag Berlin Heidelberg 1994 |
发表于 2025-3-21 17:50:01
