书目名称 | Wavelet Transforms and Localization Operators |
编辑 | M. W. Wong |
视频video | |
丛书名称 | Operator Theory: Advances and Applications |
图书封面 |  |
描述 | This book is based on lectures given at the Global Analysis Research Center (GARC) of Seoul National University in 1999and at Peking University in 1999and 2000. Preliminary versions of the book have been used for various topics courses in analysis for graduate students at York University. We study in this book wavelet transforms and localization operators in the context of infinite-dimensional and square-integrable representations of locally compact and Hausdorffgroups. The wavelet transforms studied in this book, which include the ones that come from the Weyl-Heisenberg group and the well-known affine group, are the building blocks of localization operators. The theme that dominates the book is the spectral theory of wavelet transforms and localization operators in the form of Schatten-von Neumann norm inequalities. Several chap ters are also devoted to the product formulas for concrete localization operators such as Daubechies operators and wavelet multipliers. This book is a natural sequel to the book on pseudo-differential operators [103] and the book on Weyl transforms [102] by the author. Indeed, localization operators on the Weyl-Heisenberg group are Weyl transforms, which |
出版日期 | Book 2002 |
关键词 | functional analysis; harmonic analysis; mathematical physics; measure; operator theory; signal analysis; w |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-0348-8217-0 |
isbn_softcover | 978-3-0348-9478-4 |
isbn_ebook | 978-3-0348-8217-0Series ISSN 0255-0156 Series E-ISSN 2296-4878 |
issn_series | 0255-0156 |
copyright | Springer Basel AG 2002 |