Titchmarsh's Theorem for the Dunkl transform in the space L²(Rd,ωk(x)dx)

Titchmarsh's Theorem for the Dunkl transform in the space L²(Rd,ωk(x)dx)

Using a generalized spherical mean operator, we obtain a generalization of Titchmarsh's theorem for the Dunkl transform for functions satisfying the (φ, α, β, P)-Dunkl Lipschitz condition in L²(Rd, ωk(x)dx).

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Autores principales: Daher,Radouan, El Hamma,Mohamed
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2014
Materias:
Dunkl operator
Dunkl transform
generalized spherical mean operator
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172014000100007
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spelling oai:scielo:S0716-091720140001000072014-01-06Titchmarsh's Theorem for the Dunkl transform in the space L²(Rd,ωk(x)dx)Daher,RadouanEl Hamma,Mohamed Dunkl operator Dunkl transform generalized spherical mean operator Using a generalized spherical mean operator, we obtain a generalization of Titchmarsh's theorem for the Dunkl transform for functions satisfying the (φ, α, β, P)-Dunkl Lipschitz condition in L²(Rd, ωk(x)dx).info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.33 n.1 20142014-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172014000100007en10.4067/S0716-09172014000100007
institution Scielo Chile
collection Scielo Chile
language English
topic Dunkl operator
Dunkl transform
generalized spherical mean operator
spellingShingle Dunkl operator
Dunkl transform
generalized spherical mean operator
Daher,Radouan
El Hamma,Mohamed
Titchmarsh's Theorem for the Dunkl transform in the space L²(Rd,ωk(x)dx)
description Using a generalized spherical mean operator, we obtain a generalization of Titchmarsh's theorem for the Dunkl transform for functions satisfying the (φ, α, β, P)-Dunkl Lipschitz condition in L²(Rd, ωk(x)dx).
author Daher,Radouan
El Hamma,Mohamed
author_facet Daher,Radouan
El Hamma,Mohamed
author_sort Daher,Radouan
title Titchmarsh's Theorem for the Dunkl transform in the space L²(Rd,ωk(x)dx)
title_short Titchmarsh's Theorem for the Dunkl transform in the space L²(Rd,ωk(x)dx)
title_full Titchmarsh's Theorem for the Dunkl transform in the space L²(Rd,ωk(x)dx)
title_fullStr Titchmarsh's Theorem for the Dunkl transform in the space L²(Rd,ωk(x)dx)
title_full_unstemmed Titchmarsh's Theorem for the Dunkl transform in the space L²(Rd,ωk(x)dx)
title_sort titchmarsh's theorem for the dunkl transform in the space l²(rd,ωk(x)dx)
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2014
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172014000100007
work_keys_str_mv AT daherradouan titchmarshstheoremforthedunkltransforminthespacel2rd969107xdx
AT elhammamohamed titchmarshstheoremforthedunkltransforminthespacel2rd969107xdx
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