| 书目名称 | Fractals and Spectra |
| 副标题 | Related to Fourier A |
| 编辑 | Hans Triebel |
| 视频video | http://file.papertrans.cn/348/347354/347354.mp4 |
| 概述 | Clear and concise introduction by a leading expert.Self-contained and excellently written monograph.Up-to-date account of fractal geometry and function spaces.Most of the material was published here f |
| 丛书名称 | Modern Birkhäuser Classics |
| 图书封面 |  |
| 描述 | n This book deals with several aspects of fractal geometry in ? which are closely connected with Fourier analysis, function spaces, and appropriate (pseudo)differ- tial operators. It emerged quite recently that some modern techniques in the theory of function spaces are intimately related to methods in fractal geometry. Special attention is paid to spectral properties of fractal (pseudo)differential operators; in particular we shall play the drum with a fractal layer. In some sense this book may be considered as the fractal twin of [ET96], where we developed adequate methods to handle spectral problems of degenerate n pseudodifferential operators in ? and in bounded domains. Besides a few special properties of function spaces we relied there on sharp estimates of entropy numbers of compact embeddings between these spaces and their relations to the distribution of eigenvalues. Some of the main assertions of the present book are based on just these techniques but now in a fractal setting. Since virtually nothing of these new methods is available in literature, a substantial part of what we have to say deals with recent developments in the theory of function spaces, also for their own |
| 出版日期 | Book 1997 |
| 关键词 | Eigenvalue; Fourier analysis; distribution; entropy numbers; fractal geometry; function spaces; functional |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-0348-0034-1 |
| isbn_softcover | 978-3-0348-0033-4 |
| isbn_ebook | 978-3-0348-0034-1Series ISSN 2197-1803 Series E-ISSN 2197-1811 |
| issn_series | 2197-1803 |
| copyright | Birkhäuser Verlag 1997 |
|Archiver|手机版|小黑屋|
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