Geodesic
On Functions of Negative Type on the Olshanski Spherical Pair (SL(∞), SU(∞))
Journal of Lie theory, Tome 27 (2017) no. 1, pp. 237-25
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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 
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     author = {M. 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--25},
     year = {2017},
     volume = {27},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JLT_2017_27_1_JLT_2017_27_1_a12/}
}
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M. Rabaoui. On Functions of Negative Type on the Olshanski Spherical Pair (SL(∞), SU(∞)). Journal of Lie theory, Tome 27 (2017) no. 1, pp. 237-25. http://geodesic.mathdoc.fr/item/JLT_2017_27_1_JLT_2017_27_1_a12/