ENGLISH

Abstract Harmonic Analysis of Continuous Wavelet Transforms

By Hartmut Führ (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2005
ISBN
9783540242598, 3540242597
DOI
10.1007/b104912
Open Library ID
OL9055248M
Language
english
Format
PDF
Filesize
1 MB (1272893 bytes)
Series
Lecture Notes in Mathematics 1863
Edition
1
Pages
193\200
Time added
2010-02-18 13:16:04
Abstract Harmonic Analysis; Fourier Analysis

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

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