Geodesic
An Integral Transform Connecting Spherical Analysis on Harmonic NA Groups to that of Odd Dimensional Real Hyperbolic Spaces
Ahmed Intissar1 ; M. V. Ould Moustapha2 ; Zakariyae Mouhcine3
1University of Rabat, Morocco
2Department of Mathematics, College of Science and Arts, University of Aljouf, El-Qurayat, Saudi Arabia
3CeReMAR - L.A.M.A., Department of Mathematics, Faculty of Sciences, Mohammed V University, Rabat, Morocco
Journal of Lie Theory, Tome 29 (2019) no. 1, pp. 95-106

Voir la notice de l'article provenant de la source Heldermann Verlag

The main aim of the present paper is to establish an integral transform connecting spherical analysis on harmonic NA groups to that of odd dimensional real hyperbolic spaces. Moreover, certain interesting integral identities for the Gauss hypergeometric functions have also been given.
Classification : 44A20, 33C05, 53C35
Mots-clés : Harmonic NA groups, hyperbolic spaces, Laplace-Beltrami operator, resolvent kernel, Gauss hypergeometric function, Jacobi equation, hyperbolic functions

Ahmed Intissar  1   ; M. V. Ould Moustapha  2   ; Zakariyae Mouhcine  3

1 University of Rabat, Morocco
2 Department of Mathematics, College of Science and Arts, University of Aljouf, El-Qurayat, Saudi Arabia
3 CeReMAR - L.A.M.A., Department of Mathematics, Faculty of Sciences, Mohammed V University, Rabat, Morocco 
Ahmed Intissar; M. V. Ould Moustapha; Zakariyae Mouhcine. An Integral Transform Connecting Spherical Analysis on Harmonic NA Groups to that of Odd Dimensional Real Hyperbolic Spaces. Journal of Lie Theory, Tome 29 (2019) no. 1, pp. 95-106. http://geodesic.mathdoc.fr/item/JOLT_2019_29_1_a3/
@article{JOLT_2019_29_1_a3,
     author = {Ahmed Intissar and M. V. Ould Moustapha and Zakariyae Mouhcine},
     title = {An {Integral} {Transform} {Connecting} {Spherical} {Analysis} on {Harmonic} {NA} {Groups} to that of {Odd} {Dimensional} {Real} {Hyperbolic} {Spaces}},
     journal = {Journal of Lie Theory},
     pages = {95--106},
     year = {2019},
     volume = {29},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2019_29_1_a3/}
}
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