Geodesic
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
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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 
@article{JLT_2019_29_1_JLT_2019_29_1_a3,
     author = {A. Intissar and M. V. Ould Moustapha and Z. 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/JLT_2019_29_1_JLT_2019_29_1_a3/}
}
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A. Intissar; M. V. Ould Moustapha; Z. 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/JLT_2019_29_1_JLT_2019_29_1_a3/