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Abstract Harmonic Analysis of Continuous Wavelet Transforms - Lecture Notes in Mathematics Hartmut Fuhr 2005 edition
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
| Medij | Knjige Paperback Book (Knjiga z mehkimi platnicami in lepljenim hrbtom) |
| Izdano | 11. februarja 2005 |
| ISBN13 | 9783540242598 |
| Založniki | Springer-Verlag Berlin and Heidelberg Gm |
| Strani | 193 |
| Dimenzije | 156 × 234 × 11 mm · 317 g |
| Jezik | Angleščina Nemščina |