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Abstract Harmonic Analysis of Continuous Wavelet Transforms / / by Hartmut Führ



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Autore: Führ Hartmut Visualizza persona
Titolo: Abstract Harmonic Analysis of Continuous Wavelet Transforms / / by Hartmut Führ Visualizza cluster
Pubblicazione: Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2005
Edizione: 1st ed. 2005.
Descrizione fisica: 1 online resource (X, 193 p.)
Disciplina: 515.2433
Soggetto topico: Harmonic analysis
Fourier analysis
Abstract Harmonic Analysis
Fourier Analysis
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di bibliografia: Includes bibliographical references (pages [185]-190) and index.
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: Abstract harmonic analysis of continuous wavelet transforms  Visualizza cluster
ISBN: 3-540-31552-7
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910483359003321
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Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 1863