Abstract Harmonic Analysis of Continuous Wavelet Transforms (Lecture Notes in Mathematics)

By Hartmut Führ

* Publisher: Springer

* Number Of Pages: 193

* Publication Date: 2005-04-06

* Sales Rank: 2355793

* ISBN / ASIN: 3540242597

* EAN: 9783540242598

* Binding: Paperback

* Manufacturer: Springer

* Studio: Springer

**Book Description:**

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 â€“ reasonably self-contained â€“ exposition of Plancherel theory. Therefore, the volume can also be read as a problem-driven introduction to the Plancherel formula.

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