A unitarization process for some non-locally compact topological groups

DOI10.1007/BF02572400zbMath0790.22011MaRDI QIDQ1323438

V. Pereyra

Publication date: 22 June 1994

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174564

zbMATH Keywords

unitary representationBorel measurePolish groupcurrent groupslocally bounded representationnon- locally compact topological groupPolish environment of quasi invarianceWiener-Lie group

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20)

Cites Work

• Integration on loop groups. I: Quasi invariant measures
• Factorial representations of path groups
• Irreducibility and reducibility for the energy representation of the group of mappings of a Riemannian manifold into a compact semisimple Lie group
• Gaussian measures in Banach spaces
• Infinite dimensional Lie transformation groups
• Group representations. A survey of some current topics
• Stochastic differential geometry
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