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[null,"1.","Record Nr.",null,"UNISA996466473303316"]
[null,null,"Autore",null,"Führ Hartmut"]
[null,null,"Titolo",null,"Abstract Harmonic Analysis of Continuous Wavelet Transforms [[electronic resource] /] / by Hartmut Führ"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2005"]
[null,null,"ISBN",null,"3-540-31552-7"]
[null,null,"Edizione",null,"[1st ed. 2005.]"]
[null,null,"Descrizione fisica",null,"1 online resource (X, 193 p.)"]
[null,null,"Collana",null,"Lecture Notes in Mathematics, , 0075-8434 ; ; 1863"]
[null,null,"Disciplina",null,"515.2433"]
[null,null,"Soggetti",null,"Harmonic analysis"]
[{"$nulls":4},"Fourier analysis"]
[{"$nulls":4},"Abstract Harmonic Analysis"]
[{"$nulls":4},"Fourier Analysis"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (pages [185]-190) and index."]
[null,null,"Nota di contenuto",null,"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."]
[null,null,null,"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."]