UID:
almahu_9947363914902882
Format:
X, 193 p.
,
online resource.
ISBN:
9783540315520
Series Statement:
Lecture Notes in Mathematics, 1863
Content:
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.
Note:
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.
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9783540242598
Language:
English
Subjects:
Mathematics
Keywords:
Hochschulschrift
URL:
http://dx.doi.org/10.1007/b104912
URL:
Volltext
(lizenzpflichtig)
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