Abstract Harmonic Analysis of Continuous Wavelet Transforms - Lecture Notes in Mathematics - Hartmut Fuhr - Books - Springer-Verlag Berlin and Heidelberg Gm - 9783540242598 - February 11, 2005
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Hartmut Fuhr
Abstract Harmonic Analysis of Continuous Wavelet Transforms - Lecture Notes in Mathematics 2005 edition

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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.

193 pages, biography

Media Books     Paperback Book   (Book with soft cover and glued back)
Released February 11, 2005
ISBN13 9783540242598
Publishers Springer-Verlag Berlin and Heidelberg Gm
Pages 193
Dimensions 156 × 234 × 11 mm   ·   317 g
Language English   German  

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