A Gårding domain for representations of the canonical commutation relations

DOI10.1007/BF01268422zbMath0599.43008OpenAlexW2001769424MaRDI QIDQ1080106

Alexander V. Kosyak

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf01268422

zbMATH Keywords

canonical commutation relationsHeisenberg-Weyl groupGaussian measureGårding domainrepresentations of nonlocally compact groups

Mathematics Subject Classification ID

Representations of general topological groups and semigroups (22A25) Measures on groups and semigroups, etc. (43A05) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15)

Related Items

Extension of unitary representations of inductive limits of finite dimensional Lie groups ⋮ An application of the projective spectral theorem to commuting families of operators

Cites Work

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• The spaces of trial and generalized functions of infinite number of variables
• A Garding domain for representations of some Hilbert Lie groups
• A Gårding domain for quantum fields
• Analytic and Entire Vectors for Representations of Lie Groups
• Gårding Domains and Analytic Vectors for Quantum Fields
• Note on Continuous Representations of Lie Groups

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