Analytic Extensions of Representations of *-Subsemigroups Without Polar Decomposition

DOI10.1093/IMRN/RNZ342zbMath1491.22003arXiv1812.10751OpenAlexW2999846919MaRDI QIDQ3382640

D. Oeh

Publication date: 21 September 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.10751

zbMATH Keywords

Lie groupspolar decompositionanalytic extensionstrongly continuous representationsOlshanski semigroup

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) General properties and structure of real Lie groups (22E15) Extension of functions and other analytic objects from CR manifolds (32V25) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (4)

Elements in pointed invariant cones in Lie algebras and corresponding affine pairs ⋮ Nets of standard subspaces induced by antiunitary representations of admissible Lie groups I ⋮ Nets of standard subspaces on Lie groups ⋮ Finite dimensional semigroups of unitary endomorphisms of standard subspaces

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