14 citations · 15 across the 3 of their papers we have counts for
4 papers
On functions of negative type on the Olshanski spherical pair
Marouane Rabaoui
In this paper, using a generalized Bochner type representation for Olshanski spherical pairs, we prove the boundedness of every -biinvariant continuous function of nega…
A Lévy-Khinchin Formula for the Space of Infinite Dimensional Square Complex Matrices
Marouane Rabaoui
Using a generalised Bochner type representation for Olshanski spherical pairs, we establish a Lévy-Khinchin formula for the continuous functions of negative type on the space $V_\i…
Asymptotic Harmonic Analysis on the Space of Square Complex Matrices
Marouane Rabaoui
In this paper, we determine the spherical functions of positive type on the inductive limit space of square complex matrices.
A Bochner Type Theorem for Inductive Limits of Gelfand Pairs
Marouane Rabaoui
In this paper we prove a generalisation of Bochner's theorem. Our result deals with Olshanski's spherical pairs defined as inductive limits of increasing sequences of Gelfand Pairs…