Another proofs of the geometrical forms of Paley-Wiener theorems for the Dunkl transform and inversion formulas for the Dunkl interwining operator and for its dual
Trimeche, Khalifa
HAL, hal-00002146 / Harvested from HAL
Text on HAL
In this paper we present another proofs of the geometrical forms of Paley-Wiener theorems for the Dunkl transform given in [17], and we prove inversion formulas for the Dunkl intertwining operator $V_k$ and for its dual ${}^tV_k$ and we deduce the expression of the representing distributions of the inverse operators $V^{-1}_k$ and ${}^tV_k^{-1}$.
Publié le : 2004-05-04
Classification:  Dunkl intertwining operator,  Inversions formulas,  Dunkl intertwining operator.,  Paley-wiener,  MSC (2000): 33C80, 43A32, 44A35, 51F15,  [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA] 
@article{hal-00002146,
     author = {Trimeche, Khalifa},
     title = {Another proofs of the geometrical forms of Paley-Wiener theorems for the Dunkl transform and inversion formulas for the Dunkl interwining operator and for its dual},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00002146}
}

Trimeche, Khalifa. Another proofs of the geometrical forms of Paley-Wiener theorems for the Dunkl transform and inversion formulas for the Dunkl interwining operator and for its dual. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00002146/