On the construction of invariant measure over the orthogonal group on the Hilbert space by the method of Cayley transformation

DOI10.2977/prims/1195192002zbMath0318.43001OpenAlexW2150982554MaRDI QIDQ1222335

Hiroaki Shimomura

Publication date: 1975

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195192002

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05)

Related Items (3)

Linear transformation of quasi-invariant measures ⋮ Hua-type integrals over unitary groups and over projective limits of unitary groups ⋮ Quasi-invariant measures on the orthogonal group over the Hilbert space

Cites Work

• Invariant measure of the infinite dimensional rotation group
• Projective limit of Haar measures on O(n)
• Invariant Integration Over the Infinite Dimensional Orthogonal Group and Related Spaces
• Measures on infinite dimensional vector spaces
• Gaussian Measure on a Banach Space and Abstract Winer Measure
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