On functions of negative type on the Olshanski spherical pair $(SL(\infty),SU(\infty))$

zbMath1430.22010arXiv1606.09359MaRDI QIDQ2977482

Marouane Rabaoui

Publication date: 18 April 2017

Full work available at URL: https://arxiv.org/abs/1606.09359

zbMATH Keywords

spherical functionfunction of positive typegeneralized Bochner theoremfunction of negative type

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Positive definite functions on groups, semigroups, etc. (43A35) Analysis on and representations of infinite-dimensional Lie groups (22E66)

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On positive and negative definite functions related to a big Heisenberg group ⋮ Unnamed Item ⋮ 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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