Exchangeability and irreducible rotational invariance

DOI10.1090/proc/17058MaRDI QIDQ6668365

Stefano Trapani, Domenico Marinucci, Paolo Baldi

Publication date: 22 January 2025

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

group representationsexchangeabilityFourier coefficientsinvariant random fieldsrandom eigenfunctionscharacterizations of the Gaussian

Mathematics Subject Classification ID

Random fields (60G60) Representations of finite symmetric groups (20C30) Semisimple Lie groups and their representations (22E46) Applications of linear algebraic groups to the sciences (20G45) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Exchangeability for stochastic processes (60G09)

Cites Work

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• On the characterization of isotropic Gaussian fields on homogeneous spaces of compact groups
• Random Fields on the Sphere
• A Characterization of the Multivariate Normal Distribution
• On a Characterization of the Normal Distribution
• Adjoint representations of symmetric groups

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