Decay of the Fourier transform: analytic and geometric aspects

The Plancherel formula says that the L2 norm of the function is equal to the L2 norm of its Fourier transform. This implies that at least on average, the Fourier transform of an L2 function decays at infinity. This book is dedicated to the study of the rate of this decay under various assumptions an...

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Detalles Bibliográficos
Autores principales: Iosevich, Alex, Liflyand, Elijah
Lenguaje:eng
Publicado: Springer 2014
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-3-0348-0625-1
http://cds.cern.ch/record/1968824
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author Iosevich, Alex
Liflyand, Elijah
author_facet Iosevich, Alex
Liflyand, Elijah
author_sort Iosevich, Alex
collection CERN
description The Plancherel formula says that the L2 norm of the function is equal to the L2 norm of its Fourier transform. This implies that at least on average, the Fourier transform of an L2 function decays at infinity. This book is dedicated to the study of the rate of this decay under various assumptions and circumstances, far beyond the original L2 setting. Analytic and geometric properties of the underlying functions interact in a seamless symbiosis which underlines the wide range influences and applications of the concepts under consideration.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2014
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spelling cern-19688242021-04-21T20:49:42Zdoi:10.1007/978-3-0348-0625-1http://cds.cern.ch/record/1968824engIosevich, AlexLiflyand, ElijahDecay of the Fourier transform: analytic and geometric aspectsMathematical Physics and MathematicsThe Plancherel formula says that the L2 norm of the function is equal to the L2 norm of its Fourier transform. This implies that at least on average, the Fourier transform of an L2 function decays at infinity. This book is dedicated to the study of the rate of this decay under various assumptions and circumstances, far beyond the original L2 setting. Analytic and geometric properties of the underlying functions interact in a seamless symbiosis which underlines the wide range influences and applications of the concepts under consideration.Springeroai:cds.cern.ch:19688242014
spellingShingle Mathematical Physics and Mathematics
Iosevich, Alex
Liflyand, Elijah
Decay of the Fourier transform: analytic and geometric aspects
title Decay of the Fourier transform: analytic and geometric aspects
title_full Decay of the Fourier transform: analytic and geometric aspects
title_fullStr Decay of the Fourier transform: analytic and geometric aspects
title_full_unstemmed Decay of the Fourier transform: analytic and geometric aspects
title_short Decay of the Fourier transform: analytic and geometric aspects
title_sort decay of the fourier transform: analytic and geometric aspects
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-0348-0625-1
http://cds.cern.ch/record/1968824
work_keys_str_mv AT iosevichalex decayofthefouriertransformanalyticandgeometricaspects
AT liflyandelijah decayofthefouriertransformanalyticandgeometricaspects

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