Reproducing inversion formulas for the Dunkl-Wigner transforms

Reproducing inversion formulas for the Dunkl-Wigner transforms

We define and study the Fourier-Wigner transform associated with the Dunkl operators, and we prove for this transform a reproducing inversion formulas and a Plancherel formula. Next, we introduce and study the extremal functions associated to the Dunkl- Wigner transform

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Autor principal: Soltani,Fethi
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2015
Materias:
Dunkl transform
Dunkl-Wigner transform
inversion formulas
extremal functions
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000200001
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spelling oai:scielo:S0719-064620150002000012018-10-08Reproducing inversion formulas for the Dunkl-Wigner transformsSoltani,Fethi Dunkl transform Dunkl-Wigner transform inversion formulas extremal functions We define and study the Fourier-Wigner transform associated with the Dunkl operators, and we prove for this transform a reproducing inversion formulas and a Plancherel formula. Next, we introduce and study the extremal functions associated to the Dunkl- Wigner transforminfo:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.17 n.2 20152015-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000200001en10.4067/S0719-06462015000200001
institution Scielo Chile
collection Scielo Chile
language English
topic Dunkl transform
Dunkl-Wigner transform
inversion formulas
extremal functions
spellingShingle Dunkl transform
Dunkl-Wigner transform
inversion formulas
extremal functions
Soltani,Fethi
Reproducing inversion formulas for the Dunkl-Wigner transforms
description We define and study the Fourier-Wigner transform associated with the Dunkl operators, and we prove for this transform a reproducing inversion formulas and a Plancherel formula. Next, we introduce and study the extremal functions associated to the Dunkl- Wigner transform
author Soltani,Fethi
author_facet Soltani,Fethi
author_sort Soltani,Fethi
title Reproducing inversion formulas for the Dunkl-Wigner transforms
title_short Reproducing inversion formulas for the Dunkl-Wigner transforms
title_full Reproducing inversion formulas for the Dunkl-Wigner transforms
title_fullStr Reproducing inversion formulas for the Dunkl-Wigner transforms
title_full_unstemmed Reproducing inversion formulas for the Dunkl-Wigner transforms
title_sort reproducing inversion formulas for the dunkl-wigner transforms
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2015
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000200001
work_keys_str_mv AT soltanifethi reproducinginversionformulasforthedunklwignertransforms
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