Strictly positive definite functions on the space of infinite diagonal matrices

DOI10.1134/S0001434619110324zbMath1441.43012OpenAlexW2996859663MaRDI QIDQ2304512

Marouane Rabaoui

Publication date: 12 March 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434619110324

zbMATH Keywords

generalized Bochner theoremstrictly positive definite functionsOlshanski spherical pairs

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (3)

On positive and negative definite functions related to a big Heisenberg group ⋮ Unnamed Item ⋮ Vanishing of the first-order cohomology on Olshanski spherical pairs

Cites Work

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• On functions of negative type on the Olshanski spherical pair $(SL(\infty),SU(\infty))$
• Asymptotic Harmonic Analysis on the Space of Square Complex Matrices
• Radial positive definite functions and spectral theory of the Schrödinger operators with point interactions
• A necessary and sufficient condition for strictly positive definite functions on spheres

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