References
- Dunkl , C. F. 1989 . Differential-difference operators associated with reflections groups . Transactions of American Mathematical Society , 311 : 167 – 183 .
- de Jeu , M. F.E. 1993 . The Dunkl transform . Inventions Mathematics , 113 : 147 – 162 .
- Rösler , M. 1998 . Generalized Hermite polynomials and the heat equation for Dunkl operators . Communications in Mathematical Physics , 192 : 519 – 542 .
- Soltani , F. 2005 . Inversion formulas in the Dunkl-type heat conduction on ℝ d . Applicable Analysis , 84 : 541 – 553 .
- Dunkl , C. F. 1991 . Integral kernels with reflection group invariance . Canadian Journal of Mathematics , 43 : 1213 – 1227 .
- Soltani , F. 2004 . Generalized Fock spaces and Weyl commutation relations for the Dunkl kernel . Pacific Journal of Mathematics , 214 : 379 – 397 .
- Trimèche , K. 2001 . The Dunkl intertwining operator on spaces of functions and distributions and integral representation of dual . Integral Transforms and Special Functions , 12 : 349 – 374 .
- Baker , T. H. and Forrester , P. J. 1997 . The Calogero–Sutherland model and generalized classical polynomials . Communications in Mathematical Physics , 188 : 175 – 216 .
- Lapointe , L. and Vinet , L. 1996 . Exact operator solution of the Calogero–Sutherland model . Communications in Mathematical Physics , 178 : 425 – 452 .
- Rösler , M. 2003 . A positive radial product formula for the Dunkl kernel . Transactions of American Mathematical Society , 355 : 2413 – 2438 .
- Ludwig , D. 1966 . The Radon transform on Euclidean space . Communications in Pure and Applied Mathematics , 23 : 49 – 81 .
- Solmon , D. C. 1987 . Asymptotic formulas for the dual Radon transform . Mathematische Zeischrift , 195 : 321 – 343 .
- Nessibi , M. M. , Rachdi , L. T. and Trimèche , K. 1995 . Ranges and inversion formulas for spherical mean operator and its dual . Journal of Mathematical Analysis and Applications , 196 : 861 – 884 .
- Samko , S. G. 2002 . “ Hypersingular integrals and their applications ” . In Inernational Series Analytical Methods and Special Functions , Vol. 5 , London : Taylor & Francis .
- Trimèche , K. 2002 . Paley–Wiener Theorems for the Dunkl transform and Dunkl translation operators . Integral Transforms and Special Functions , 13 : 17 – 38 .
- Samko , S. G. , Kilbas , A. A. and Marichev , O. I. 1993 . Fractional Integrals and Derivatives. Theory and Applications , London-New York : Gordon & Breach. Sci. Publi .
- Rösler , M. 1999 . Positivity of Dunkl’s intertwining operator . Duke Mathematical Journal , 98 : 445 – 463 .
- Lebedev , N. N. 1972 . Special Functions and their Applications , New York : Dover Publications, Inc .
- Soltani , F. 2004 . L p -Fourier multipliers for the Dunkl operator on the real line . Journal of Functional Analysis , 209 : 16 – 35 .