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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 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.
- Illustratör: Bibliographie
- Format: Pocket/Paperback
- ISBN: 9783540242598
- Språk: Engelska
- Antal sidor: 193
- Utgivningsdatum: 2005-02-01
- Förlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. K