Projective limit of Haar measures on O(n)

DOI10.2977/prims/1195193230zbMath0241.28016OpenAlexW2024114162MaRDI QIDQ2553708

Yasuo Yamasaki

Publication date: 1972

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/1195193230

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10)

Related Items (6)

Weyl-Schrödinger representations of Heisenberg groups in infinite dimensions ⋮ Paley-Wiener isomorphism over infinite-dimensional unitary groups ⋮ On the construction of invariant measure over the orthogonal group on the Hilbert space by the method of Cayley transformation ⋮ On the minimum of a positive definite quadratic form over non-zero lattice points. Theory and applications ⋮ Unitary representations of the infinite-dimensional classical groups U(p,infinity), SO//0(p,infinity), Sp(p,infinity) and the corresponding motion groups ⋮ Hardy-type space associated with an infinite-dimensional unitary matrix group

Cites Work

• Invariant measure of the infinite dimensional rotation group
• Gaussian measure on the projective limit space of spheres
• Invariant Integration Over the Infinite Dimensional Orthogonal Group and Related Spaces
• Infinite dimensional Laplacian and spherical harmonics

This page was built for publication: Projective limit of Haar measures on O(n)