Abstract Harmonic Analysis of Continuous Wavelet Transforms
Hartmut Führ (auth.)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.
類別:
年:
2005
版本:
1
出版商:
Springer-Verlag Berlin Heidelberg
語言:
english
頁數:
193
ISBN 10:
3540242597
ISBN 13:
9783540242598
系列:
Lecture Notes in Mathematics 1863
文件:
PDF, 1.21 MB
IPFS:
,
english, 2005
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