Abstract Harmonic Analysis of Continuous Wavelet Transforms

von Hartmut Führ

193 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783540242598
• Sprache: Englisch
• Erscheinungsdatum: 11.02.2005
• Genre: Mathematik/Analysis
• Verlag: Springer Berlin