**Abstract Harmonic Analysis of Continuous Wavelet Transforms by Hartmut Fuhr**

Publisher: Springer | 2005 | ISBN: 3540242597 | Pages: 193 | True PDF | Size: MB

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. | ” |