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Abstract Harmonic Analysis of Continuous Wavelet Transforms - Lecture Notes in Mathematics Hartmut Fuhr 2005 edition
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Abstract Harmonic Analysis of Continuous Wavelet Transforms - Lecture Notes in Mathematics
Hartmut Fuhr
This volume contains a systematic discussion of wavelet-type inversion formulae based on group representations, and their close connection to the Plancherel formula for locally compact groups. The connection is demonstrated by the discussion of a toy example, and then employed for two purposes: Mathematically, it serves as a powerful tool, yielding existence results and criteria for inversion formulae which generalize many of the known results. Moreover, the connection provides the starting point for a ? reasonably self-contained ? exposition of Plancherel theory. Therefore, the volume can also be read as a problem-driven introduction to the Plancherel formula.
193 pages, biography
| メディア | 書籍 Paperback Book (ソフトカバーで背表紙を接着した本) |
| リリース済み | 2005年2月11日 |
| ISBN13 | 9783540242598 |
| 出版社 | Springer-Verlag Berlin and Heidelberg Gm |
| ページ数 | 193 |
| 寸法 | 156 × 234 × 11 mm · 317 g |
| 言語 | 英語 ドイツ語 |