1 |
A.Hassini and K.Trimeche, Wavelets and generalized windowed transforms associated with the Dunkl-Bessel-Laplace operator on , Mediterr. J. Math. 12 (2015), 1323-1344.
DOI
|
2 |
G.J.Heckman and E.M.Opdam, Root systems and hypergeometric functions, I. Compositio Math. 64 (1987), 329-352.
|
3 |
A.Jouini and K.Trimeche, Two versions of wavelets and applications, Narosa Publishing House, Pvt.Ltd, 2006.
|
4 |
T.H.Koornwinder, A new proof of the Paley-Wiener type theorem for the Jacobi transform, Arkiv For Math. 13 (1) (1975), 145-159.
DOI
|
5 |
T.H.Koornwinder, The continuous wavelet transform. Series in Approximations and Decompositions. Vol. 1. Wavelets: An elementary treatment of theory and applications. Edited by T.H.Koornwinder, World Scientific, (1993), p. 27-48.
|
6 |
E.M.Opdam, Harmonic analysis for certain representations of graded Hecke algebras, Acta Math. 175 (1995), 75-121.
DOI
|
7 |
B.Schapira, Contribution to the hypergeometric function theory of Heckman and Opdam; sharp estimates, Schwartz spaces, heat kernel, Geom. Funct. Anal. 18 (2008), 222-250.
DOI
|
8 |
K.Trimeche, Generalized Wavelets and Hypergroups, Gordon and Breach Science Publishers, 1997.
|
9 |
K.Trimeche, Paley-Wiener theorems for the Dunkl transform and Dunkl translation operators, Integ. Transf. and Spec. Funct. 13 (2002), 17-38.
DOI
|
10 |
K.Trimeche, The trigonometric Dunkl intertwining operator and its dual associated with the Cherednik operator and the Heckman Opdam theory, Adv. Pure Appl. Math. 1 (2010), 293-323.
|
11 |
K.Trimeche, Harmonic analysis associated with the Cherednik operators and the Heckman-Opdam theory, Adv. Pure Appl. Math. 2 (2011), 23-46.
|
12 |
K.Trimeche, The positivity of the hypergeometric translation operators associated to the Cherednik operators and the Heckman-Opdam theory attached to the root systems of type and , Korean J. Math. 22 (4) (2014), 711-728.
DOI
|
13 |
K.Trimeche, Positivity of the transmutation operators and absolute continuity of their representing measures for a root system on , Int. J. App. Math. 28 (4) (2015), 427-453.
|
14 |
K.Trimeche, The harmonic analysis associated to the Heckman-Opdam theory and its application to a root system of type ., Preprint. Faculty of Sciences of Tunis. 2015.
|
15 |
L.C.Andrews, Special functions of Mathematics for engineers, second edition, Oxford University Press-Oxford-Tokyo-Melbourn, 1998.
|
16 |
W.R.Bloom and H.Heyer, Harmonic analysis of probability measures on hypergroups, Walter de Grayter, Berlin, New-York 1995.
|
17 |
I.Cherednik, Inverse Harish-Chandra transform and difference operators, Internat. Math. Res. Notices 15 (1997), 733-750.
|
18 |
L.Gallardo and K.Trimeche, Positivity of the Jacobi-Cherednik intertwining operator and its dual, Adv. Pure Appl. Math. 1 (2012), 163-194.
|
19 |
P.Goupilland, A.Grossmann and J.Morlet, Cycle octave and related transforms in seismic signal analysis, Geoexploration 23 (1984-1985), 85-102.
|
20 |
A.Graussmann and J.Morlet, Decomposition of Hardy functions into square integrable wavelets of constant shape, Soc. Int. Am. Math. (SIAM), J. Math. Analys. 15 (1984), 723-736.
|