Gaussian measure on the projective limit space of spheres

DOI10.3792/pja/1195522741zbMath0127.34901OpenAlexW2042592077MaRDI QIDQ5334653

H. Nomoto, Takeyuki Hida

Publication date: 1964

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1195522741

zbMATH Keywords

probability theory

Mathematics Subject Classification ID

Probability theory and stochastic processes (60-XX)

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Finite Dimensional Approximations to Some Flows on the Projective Limit Space of Spheres II, Infinite dimensional Laplacian and spherical harmonics, Spectral convergence of high-dimensional spheres to Gaussian spaces, Large-\(N\) limit of the Segal-Bargmann transforms on the spheres, Levy's functional analysis in terms of an infinite dimensional Brownian motion. I, Kolmogorov's extension theorem for infinite measures, Polynomials and high-dimensional spheres, Projective limit of Haar measures on O(n), Infinite-dimensional classical groups of finite \(r\)-rank: description of representations and asymptotic theory, Finite Dimensional Approximations to Some Flows on the Projective Limit Space of Spheres

Cites Work

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