Convergence in total variation for nonlinear functionals of random hyperspherical harmonics

DOI10.1016/j.jfa.2023.110239arXiv2206.02605OpenAlexW4388599122MaRDI QIDQ6144346

Giacomo Giorgio, Maurizia Rossi, Lucia Caramellino

Publication date: 5 January 2024

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.02605

zbMATH Keywords

Malliavin calculustotal variation distanceGaussian eigenfunctionshigh energy asymptotics

Mathematics Subject Classification ID

Random fields (60G60) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Stochastic calculus of variations and the Malliavin calculus (60H07) Convergence of probability measures (60B10)

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