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

• Autore: Führ Hartmut
• 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
• ISBN: 3-540-31552-7
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910483359003321
• Lo trovi qui: Univ. Federico II
• Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 1863