Abstract Harmonic Analysis of Continuous Wavelet Transforms
Hartmut F¨ uhr
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.
श्रेणियाँ:
खंड:
1863
साल:
2005
प्रकाशन:
Springer Science & Business Media
भाषा:
english
पृष्ठ:
212
ISBN 10:
3540242597
ISBN 13:
9783540242598
श्रृंखला:
Lecture Notes in Mathematics
फ़ाइल:
PDF, 1.67 MB
IPFS:
,
english, 2005
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