Inversion Formulas for the Spherical Radon-Dunkl Transform

dc.contributor.authorLi, Zhongkai
dc.contributor.authorSong, Futao
dc.date.accessioned2019-02-19T18:15:47Z
dc.date.available2019-02-19T18:15:47Z
dc.date.issued2009
dc.description.abstractThe spherical Radon-Dunkl transform Rκ, associated to weight functions invariant under a finite reflection group, is introduced, and some elementary properties are obtained in terms of h-harmonics. Several inversion formulas of Rκ are given with the aid of spherical Riesz-Dunkl potentials, the Dunkl operators, and some appropriate wavelet transforms.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue on Dunkl Operators and Related Topics. This work is supported by the National Natural Science Foundation of China (No. 10571122), the Beijing Natural Science Foundation, the Project of Excellent Young Teachers and the Doctoral Programme Foundation of National Education Ministry of China, and the Project of Beijing Education Ministry.uk_UA
dc.identifier.citationInversion Formulas for the Spherical Radon-Dunkl Transform / Zhongkai Li, Futao Song // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 36 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 44A12; 33C55; 65R32; 42C40
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/149181
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleInversion Formulas for the Spherical Radon-Dunkl Transformuk_UA
dc.typeArticleuk_UA

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