A note on certain permutation groups in the infinite dimensional rotation group

DOI10.1017/S0027763000002786zbMath0611.60013OpenAlexW1546918227MaRDI QIDQ3750706

Nobuaki Obata

Publication date: 1988

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000002786

zbMATH Keywords

Lévy LaplacianLévy groupgroup of all permutationsdensity of natural numbers

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Probabilistic methods in group theory (20P05) Infinite automorphism groups (20B27)

Related Items (10)

A characterization of Cesàro average utility ⋮ Density of natural numbers and the Lévy group ⋮ Permutations that preserve asymptotically null sets and statistical convergence ⋮ Density of sets of natural numbers and the Lévy group ⋮ Cesàro average utilitarianism in relativistic spacetime ⋮ Lévy Laplacians and instantons on manifolds ⋮ Lévy group action and invariant measures on 𝛽{ℕ} ⋮ Lévy Laplacian of generalized functions on a nuclear space ⋮ Permutations preserving Cesàro mean, densities of natural numbers and uniform distribution of sequences ⋮ A characterization of the Lévy Laplacian in terms of infinite dimensional rotation groups

Cites Work

• Calculus on Gaussian white noise. IV
• Conformal invariance of white noise
• Ito’s formula and Levy’s Laplacian
• Unnamed Item

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