Title
Abstract Harmonic Analysis of Continuous Wavelet Transforms [electronic resource] / by Hartmut Führ.
Publication
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005.
Physical Description
1 online resource (X, 193 p).
Local Notes
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Access and use
Access restricted by licensing agreement.
Summary
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.
Variant and related titles
Springer ENIN.
Other formats
Printed edition:
Printed edition:
Added to Catalog
September 12, 2018
Series
Lecture Notes in Mathematics, 1863
Contents
Introduction
Wavelet Transforms and Group Representations
The Plancherel Transform for Locally Compact Groups
Plancherel Inversion and Wavelet Transforms
Admissible Vectors for Group Extension
Sampling Theorems for the Heisenberg Group
References
Index.