Integrability of unitary representations on reproducing kernel spaces

DOI10.1090/S1088-4165-2015-00461-3zbMath1355.17005arXiv1406.2681OpenAlexW2076472710MaRDI QIDQ5248040

Stéphane Merigon, Karl-Hermann Neeb, Gestur Olafsson

Publication date: 27 April 2015

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.2681

zbMATH Keywords

manifoldsunitary representationsreproducing kernelfinite and infinite dimensional Lie groups

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, analytic theory (17B15) Analysis on and representations of infinite-dimensional Lie groups (22E66)

Related Items (4)

Reflection positive stochastic processes indexed by Lie groups ⋮ Reflection positivity on spheres ⋮ Reflection negative kernels and fractional Brownian motion ⋮ Reflection positive one-parameter groups and dilations

Cites Work

• Unnamed Item
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• On differentiable vectors for representations of infinite dimensional Lie groups
• Integrating representations of Banach-Lie algebras
• Analytic vectors
• On virtual representations of symmetric spaces and their analytic continuation
• Infinite-dimensional classical groups of finite \(r\)-rank: description of representations and asymptotic theory
• Towards a Lie theory of locally convex groups
• From the Euclidean group to the Poincaré group via Osterwalder-Schrader positivity
• Extensions and generalizations of a theorem of Widder and of the theory of symmetric local semigroups
• Reflection positivity for the complementary series of SL(2n, \({\mathbb{C}})\)
• Analytic continuation of local representations of symmetric spaces
• Unbounded, symmetric semigroups on a separable Hilbert space are essentially selfadjoint
• Construction of a unique self-adjoint generator for a symmetric local semigroup
• Unitary representations of Lie groups with reflection symmetry
• Holomorphy and convexity in Lie theory
• Axioms for Euclidean Green's functions
• Analytic continuation of local representations of Lie groups
• Reflection positivity and conformal symmetry
• On the integrability of representations of finite dimensional real Lie algebras
• Analytic Extension Techniques for Unitary Representations of Banach–Lie Groups
• Reflection Positivity for Unitary Representations of Lie Groups
• Unitary Representations of Unitary Groups

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