Geodesic
On Functions of Negative Type on the Olshanski Spherical Pair (SL(∞), SU(∞))
Marouane Rabaoui1
1Dept. of Mathematics and Statistics, King Faisal University, P.O. Box 400, Al Ahsa 31982, Kingdom of Saudi Arabia
Journal of Lie Theory, Tome 27 (2017) no. 1, pp. 237-250

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

Using a generalized Bochner type representation for Olshanski spherical pairs, we prove the boundedness of every SU(∞)-biinvariant continuous function of negative type on the infinite dimensional special linear group SL(∞).
Classification : 22E30, 43A35, 43A85, 43A90
Mots-clés : Function of negative type, function of positive type, spherical function, generalized Bochner theorem

Marouane Rabaoui  1

1 Dept. of Mathematics and Statistics, King Faisal University, P.O. Box 400, Al Ahsa 31982, Kingdom of Saudi Arabia 
Marouane Rabaoui. On Functions of Negative Type on the Olshanski Spherical Pair (SL(∞), SU(∞)). Journal of Lie Theory, Tome 27 (2017) no. 1, pp. 237-250. http://geodesic.mathdoc.fr/item/JOLT_2017_27_1_a12/
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     author = {Marouane Rabaoui},
     title = {On {Functions} of {Negative} {Type} on the {Olshanski} {Spherical} {Pair} {(SL(\ensuremath{\infty}),} {SU(\ensuremath{\infty}))}},
     journal = {Journal of Lie Theory},
     pages = {237--250},
     year = {2017},
     volume = {27},
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