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Abstract Harmonic Analysis of Continuous Wavelet Transforms

Abstract Harmonic Analysis of Continuous Wavelet Transforms Image

Book Details:

Publisher:Springer
Series: Springer
Author:Hartmut Fuehr
Edition:1
ISBN-10:3540242597
ISBN-13:9783540242598
Pages:193
Published:Feb 11 2005
Posted:Nov 19 2014
Language:English
Book format:PDF
Book size:1.21 MB

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

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