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Abstract Harmonic Analysis of Continuous Wavelet Transforms by Hartmut Fuhr (Repost)

Posted on 2010-09-20




Name:Abstract Harmonic Analysis of Continuous Wavelet Transforms by Hartmut Fuhr (Repost)
ASIN/ISBN:3540242597
Publisher:Springer
Publish Date:2005
Pages:193
Publisher: Springer
Publish Date: 2005
ISBN: 3540242597
Pages: 193
File Type: True PDF
File Size: Size: MB
   Abstract Harmonic Analysis of Continuous Wavelet Transforms by Hartmut Fuhr (Repost)

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Abstract Harmonic Analysis of Continuous Wavelet Transforms by Hartmut Fuhr

& 8220;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.& 8221;


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