1-cocycles for rotationally invariant measures

DOI10.2977/PRIMS/1195144884zbMath0909.60008OpenAlexW2051671000MaRDI QIDQ1265295

Hiroaki Shimomura

Publication date: 7 April 1999

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/1195144884

Mathematics Subject Classification ID

Probability theory on linear topological spaces (60B11)

Cites Work

• Canonical representations generated by translationally quasi-invariant measures
• Rotationally-quasi-invariant measures on the dual of a Hilbert space
• Hermite polynomials and infinite dimensional motion group
• Special functions connected with representations of the finite dimensional motion group
• Rotationally invariant measures in the dual space of a nuclear space
• Metric Spaces and Positive Definite Functions
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