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Abstract Harmonic Analysis of Continuous Wavelet Transforms

Abstract Harmonic Analysis of Continuous Wavelet Transforms by 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 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.

Springer Berlin Heidelberg; January 2005
201 pages; ISBN 9783540315520
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Title: Abstract Harmonic Analysis of Continuous Wavelet Transforms
Author: Hartmut Führ
 
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ISBNs
3540315527
9783540242598
9783540315520