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

DOI10.1007/s11117-022-00884-3OpenAlexW4223942959MaRDI QIDQ2128785

Marouane Rabaoui

Publication date: 22 April 2022

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-022-00884-3

zbMATH Keywords

Heisenberg grouppositive definite functionnegative definite functiongeneralized Bochner theorem

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)

Cites Work

• A Bochner type theorem for inductive limits of Gelfand pairs
• On group topologies and unitary representations of inductive limits of topological groups and the case of the group of diffeomorphisms
• A Lévy-Khinchin formula for the space of infinite dimensional square complex matrices
• Strictly positive definite functions on the space of infinite diagonal matrices
• Sur une demonstration de la formule de Levy-Kinchine
• Distances hilbertiennes invariantes sur un espace homogene
• On functions of negative type on the Olshanski spherical pair $(SL(\infty),SU(\infty))$
• Asymptotic Harmonic Analysis on the Space of Square Complex Matrices
• Vanishing of the first-order cohomology on Olshanski spherical pairs
• Asymptotic spherical analysis on the Heisenberg group
• Les Fonctions De Type Positif et la Theorie Des Groupes
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