Equivalence-singularity dichotomy for the Wiener measures on path groups and loop groups

DOI10.1215/KJM/1250518654zbMath0851.58031OpenAlexW1493912409MaRDI QIDQ1911572

Gaku Sadasue

Publication date: 2 December 1996

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250518654

zbMATH Keywords

equivalenceWiener measureergodicitysingularityloop groupspath groups

Mathematics Subject Classification ID

Loop groups and related constructions, group-theoretic treatment (22E67) Ergodic theory (37A99) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (3)

Harmonic analysis with respect to heat kernel measure ⋮ The Segal-Bargmann transform for path-groups ⋮ Small-time Gaussian behavior of symmetric diffusion semigroups

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