Inversion of Riesz Potentials for Dunkl Transform

The inversion of Riesz potentials for Dunkl transform when G=Z2d is given by using the generalized wavelet transforms. It is also proved that the Riesz potentials Iακ are automorphisms on the Semyanistyi-Lizorkin spaces.

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Bibliographic Details
Published inJournal of function spaces Vol. 2018; no. 2018; pp. 1 - 6
Main Authors Liu, Moyi, Wang, Rongxin, Song, Futao
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 01.01.2018
Hindawi
Hindawi Limited
Wiley
Subjects
Applied mathematics
Automorphisms
Harmonic analysis
Integrals
Inversion
Mathematical functions
Wavelet transforms
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Summary:The inversion of Riesz potentials for Dunkl transform when G=Z2d is given by using the generalized wavelet transforms. It is also proved that the Riesz potentials Iακ are automorphisms on the Semyanistyi-Lizorkin spaces.
ISSN:2314-8896
2314-8888
DOI:10.1155/2018/8943473