Abstract Harmonic Analysis of Continuous Wavelet Transforms: 1863 (Lecture Notes in Mathematics, 1863) - Softcover

Führ, Hartmut

Softcover

ISBN 10: 3540242597 ISBN 13: 9783540242598

Publisher: Springer, 2005

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.

About this title

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.

Edition details

• Publisher: Springer
• Publication date: 2005
• Language: English
• ISBN 10: 3540242597
• ISBN 13: 9783540242598
• Binding: Paperback
• Number of pages: 203