Abstract Harmonic Analysis of Continuous Wavelet Transforms 2005th Edition

Ebook Details


Hartmut Führ

Year 2005
Pages 193
Publisher Springer
Language en
ISBN 9783540242598
File Size 1.39 MB
File Format PDF
Download Counter 117
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Ebook 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 – reasonably self-contained – exposition of Plancherel theory. Therefore, the volume can also be read as a problem-driven introduction to the Plancherel formula.