Abstract Harmonic Analysis of Continuous Wavelet Transforms - Hartmut Führ
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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 ... Täielik kirjeldus
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Kirjeldus
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.
Lisateave
| Autor | Hartmut Führ |
|---|---|
| Kirjastaja | Springer Berlin Heidelberg |
| Väljalaskeaasta | 2005 |
| Kaanetüüp | Pehme kaanega |
| EAN | 9783540242598 |