Inversion quasi-invariant Gaussian measures on the group of upper-triangular matrices of infinite order

DOI10.1007/BF02467071zbMath0961.43001OpenAlexW2082163280MaRDI QIDQ1576938

Alexander V. Kosyak

Publication date: 6 May 2001

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02467071

zbMATH Keywords

locally compact groupscommutation theoremleft and right regular representations of a groupquasi-invariant Gaussian measureupper triangular infinite matrices

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

Related Items (1)

Induced representations of infinite-dimensional groups. I.

Cites Work

• Unnamed Item
• Conditions necessary for optimality in the convex Bolza problem with phase constraints of a general form
• Factorial representations of path groups
• Rigid isotopy classification of real plane curves of degree 5
• 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
• Irreducible regular Gaussian representations of the groups of the interval and circle diffeomorphisms

This page was built for publication: Inversion quasi-invariant Gaussian measures on the group of upper-triangular matrices of infinite order