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Abstract Harmonic Analysis of Continuous Wavelet Transforms / by Hartmut Führ
(Lecture Notes in Mathematics. ISSN:16179692 ; 1863)
Edition | 1st ed. 2005. |
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Publisher | (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer) |
Year | 2005 |
Language | English |
Size | X, 193 p : online resource |
Authors | *Führ, Hartmut author SpringerLink (Online service) |
Subjects | LCSH:Harmonic analysis LCSH:Fourier analysis FREE:Abstract Harmonic Analysis FREE:Fourier Analysis |
Notes | 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 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 HTTP:URL=https://doi.org/10.1007/b104912 |
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E-Book | Location | Media type | Volume | Call No. | Status | Reserve | Comments | ISBN | Printed | Restriction | Designated Book | Barcode No. |
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E-Book | オンライン | 電子ブック |
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Springer eBooks | 9783540315520 |
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EB00239023 |
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Material Type | E-Book |
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Classification | LCC:QA403-403.3 DC23:515.785 |
ID | 4000120006 |
ISBN | 9783540315520 |
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