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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: Math...

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Detalles Bibliográficos
Autor principal: Führ, Hartmut
Lenguaje:eng
Publicado: Springer 2005
Materias:
Acceso en línea:https://dx.doi.org/10.1007/b104912
http://cds.cern.ch/record/1690679
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author Führ, Hartmut
author_facet Führ, Hartmut
author_sort Führ, Hartmut
collection CERN
description 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.
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spelling cern-16906792021-04-21T21:14:07Zdoi:10.1007/b104912http://cds.cern.ch/record/1690679engFühr, HartmutAbstract harmonic analysis of continuous wavelet transformsMathematical Physics and MathematicsThis 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.Springeroai:cds.cern.ch:16906792005
spellingShingle Mathematical Physics and Mathematics
Führ, Hartmut
Abstract harmonic analysis of continuous wavelet transforms
title Abstract harmonic analysis of continuous wavelet transforms
title_full Abstract harmonic analysis of continuous wavelet transforms
title_fullStr Abstract harmonic analysis of continuous wavelet transforms
title_full_unstemmed Abstract harmonic analysis of continuous wavelet transforms
title_short Abstract harmonic analysis of continuous wavelet transforms
title_sort abstract harmonic analysis of continuous wavelet transforms
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/b104912
http://cds.cern.ch/record/1690679
work_keys_str_mv AT fuhrhartmut abstractharmonicanalysisofcontinuouswavelettransforms