Sonine Transform Associated to the Dunkl Kernel on the Real Line

dc.contributor.author	Soltani, F.
dc.date.accessioned	2019-02-16T16:21:36Z
dc.date.available	2019-02-16T16:21:36Z
dc.date.issued	2008
dc.identifier.citation	Sonine Transform Associated to the Dunkl Kernel on the Real Line / F. Soltani // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 20 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 43A62; 43A15; 43A32
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147997
dc.description.abstract	We consider the Dunkl intertwining operator Vα and its dual tVα, we define and study the Dunkl Sonine operator and its dual on R. Next, we introduce complex powers of the Dunkl Laplacian Δα and establish inversion formulas for the Dunkl Sonine operator Sα,β and its dual tSα,β. Also, we give a Plancherel formula for the operator tSα,β.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue on Dunkl Operators and Related Topics. The author is very grateful to the referees and editors for many critical comments on this paper.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Sonine Transform Associated to the Dunkl Kernel on the Real Line	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA