Hartmut Führ

Abstract Harmonic Analysis of Continuous Wavelet Transforms (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 193
• Erscheinungstermin: 17. Januar 2005
• Englisch
• ISBN-13: 9783540315520
• Artikelnr.: 46927530