Keywords: Spherical pairs of Olshanski, spherical functions, functions of positive type, functions of negative type.

Subject:

Harmonic Analysis, Representation Theory

Main publications:

1. Marouane Rabaoui, “A Bochner type theorem for inductive limits of Gelfand pairs”, Annales de linstitut Fourier, 58:5 (2008), 1551-1573
2. Marouane Rabaoui, “Asymptotic Harmonic Analysis on the Space of Square Complex Matrices”, Journal of Lie Theory, 18:3 (2008), 645-670
3. Marouane Rabaoui, “A L\evy-Khinchin formula for the space of infinite dimensional Square Complex Matrices”, Bull. Sci. math., 139 (2015), 283-300
4. Marouane Rabaoui, “On Functions of Negative Type on the Olshanski Spherical Pair $(SL(\infty), SU(\infty))$”, Journal of Lie Theory, 27:1 (2017), 237-250
5. Marouane Rabaoui, “Strictly positive definite functions on the space of infinite diagonal matrices”, Mathematical Notes, 106:6 (2019), 966-969

Publications in Math-Net.Ru

Personal pages:

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Organisations:

• University of Carthage, Preparatory Institute of engineering studies of Nabeul, Merazka
• University of Tunis El Manar, Faculty of Sciences of Tunis, Laboratory of Mathematical Analysis and Applications, LR11ES11
• King Faisal University