Lecture Notes in Mathematics

Führ, Hartmut

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.

Details

Published by: Springer

Publication Date: 2005-02-11

Format: Paperback

ISBN-13: 9783540242598

DOI: 10.1007/b104912

Dimensions: 235cm x155cm

Pages: 193