Lecture Notes in Mathematics: Abstract Harmonic Analysis of Continuous Wavelet Transforms (Volume 1863)

Führ, Hartmut

ISBN 10: 3540242597 / ISBN 13: 9783540242598

Published by Springer, 2005

About this Item

Volume 1863. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,400grams, ISBN:9783540242598.

Seller Inventory # 5780182

Bibliographic Details

• Title: Lecture Notes in Mathematics: Abstract Harmonic Analysis of Continuous Wavelet Transforms (Volume 1863)
• Publisher: Springer
• Publication Date: 2005
• Language: English
• ISBN 10: 3540242597
• ISBN 13: 9783540242598
• Binding: Soft cover
• Condition: Good
• Weight: 400 grams
• Seller catalogs:
  • Mathematics

About this title

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

From the Back Cover

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.