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Abstract Harmonic Analysis of Continuous Wavelet Transforms

✍ Scribed by Hartmut Führ (auth.)

Book ID
127423810
Publisher
Springer
Year
2005
Tongue
English
Weight
1 MB
Edition
1
Category
Library
City
New York
ISBN
3540315527

No coin nor oath required. For personal study only.

✦ Synopsis

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 book can also be read as a problem-driven introduction to the Plancherel formula.

✦ Subjects

Fourier Analysis

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