A Garding domain and entire vectors for inductive limits of locally compact Abelian groups

DOI10.1007/BF01093084zbMath0524.22004OpenAlexW2016338002MaRDI QIDQ585380

Yurii S. Samoilenko, Alexander V. Kosyak

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf01093084

zbMATH Keywords

unitary representationinductive limitAbelian locally compact groupentire vectorGarding domain

Mathematics Subject Classification ID

Representations of general topological groups and semigroups (22A25) Applications of operator algebras to the sciences (47L90) Groups and semigroups of linear operators (47D03) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Unitary representations of locally compact groups (22D10)

Related Items (1)

Induced representations of infinite-dimensional groups. I.

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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