Sonine Transform Associated to the Dunkl Kernel on the Real Line
نویسندگان
چکیده
منابع مشابه
q-ANALOGUE OF THE DUNKL TRANSFORM ON THE REAL LINE
In this paper, we consider a q-analogue of the Dunkl operator on R, we define and study its associated Fourier transform which is a q-analogue of the Dunkl transform. In addition to several properties, we establish an inversion formula and prove a Plancherel theorem for this q-Dunkl transform. Next, we study the q-Dunkl intertwining operator and its dual via the q-analogues of the Riemann-Liouv...
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ژورنال
عنوان ژورنال: Symmetry, Integrability and Geometry: Methods and Applications
سال: 2008
ISSN: 1815-0659
DOI: 10.3842/sigma.2008.092