INTEGRAL REPRESENTATIONS FOR LOCALLY DEFINED POSITIVE DEFINITE FUNCTIONS ON LIE GROUPS

DOI10.1142/S0129167X91000168zbMath0764.43001OpenAlexW2001143251WikidataQ115246488 ScholiaQ115246488MaRDI QIDQ3974372

Palle E. T. Jorgensen

Publication date: 25 June 1992

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x91000168

zbMATH Keywords

Heisenberg groupLie groupsextendabilitylocally defined positive definite functions

Mathematics Subject Classification ID

Positive definite functions in one variable harmonic analysis (42A82) Analysis on other specific Lie groups (43A80) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (8)

Von Neumann indices and classes of positive definite functions ⋮ On differentiable vectors for representations of infinite dimensional Lie groups ⋮ Extension of local positive definite \(\mathbb{Z}_2^n\)-superfunctions ⋮ On analytic vectors for unitary representations of infinite dimensional Lie groups ⋮ Extension of positive definite functions ⋮ Orthonormal dilations of parseval wavelets ⋮ On the local operator commutation relations and extensions of locally defined positive definite functions on the Heisenberg group ⋮ Trigonometric moment problems for arbitrary finite subsets of $\mathbb Z^n$

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