Asymptotic Harmonic Analysis on the Space of Square Complex Matrices

zbMath1167.22008arXiv0806.0541MaRDI QIDQ3600712

Marouane Rabaoui

Publication date: 5 February 2009

Full work available at URL: https://arxiv.org/abs/0806.0541

zbMATH Keywords

inductive limitunitary groupspherical functionergodic measurefunction of positive typegeneralized Bochner theoremsquare complex matrices

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Harmonic analysis and spherical functions (43A90) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (7)

On positive and negative definite functions related to a big Heisenberg group ⋮ \(O(\infty)\)- and \(\mathrm{Sp}(\infty)\)-invariant ergodic measures on the spaces of infinite antisymmetric and quaternionic antihermitian matrices ⋮ Unnamed Item ⋮ Finiteness of ergodic unitarily invariant measures on spaces of infinite matrices ⋮ A Lévy-Khinchin formula for the space of infinite dimensional square complex matrices ⋮ Strictly positive definite functions on the space of infinite diagonal matrices ⋮ Vanishing of the first-order cohomology on Olshanski spherical pairs

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