Abstract harmonic analysis of continuous wavelet transforms
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. TOC:1. Introduction.- 2. Wavelet Transforms and Group Representations.- 3. The Plancherel Transform for Locally Compact Groups.- 4. Plancherel Inversion and Wavelet Transforms.- 5. Admissible Vectors for Group Extension.- 6. Sampling Theorems for the Heisenberg Group.- References.- Index
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- ISBN
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9783540242598
3540242597
- Dimensions
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24 cm
- Extent
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X, 193 S.
- Language
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Englisch
- Notes
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Literaturverz, S. 185 - 190
- Bibliographic citation
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Lecture notes in mathematics ; 1863
- Classification
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Mathematik
- Keyword
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Wavelet-Transformation
Abstrakte harmonische Analysis
- Event
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Veröffentlichung
- (where)
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Berlin, Heidelberg, New York
- (who)
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Springer
- (when)
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2005
- Creator
- Table of contents
- Rights
-
Bei diesem Objekt liegt nur das Inhaltsverzeichnis digital vor. Der Zugriff darauf ist unbeschränkt möglich.
- Last update
-
11.06.2025, 2:26 PM CEST
Data provider
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Führ, Hartmut
- Springer
Time of origin
- 2005
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