Orthogonal polynomial decomposition for random fields with all moments

DOI10.1007/s00032-019-00291-6zbMath1430.42030OpenAlexW2917094876MaRDI QIDQ2002077

Abdallah Dhahri, Luigi Accardi

Publication date: 11 July 2019

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00032-019-00291-6

zbMATH Keywords

multi-dimensional Favard lemmaproduct probability measures

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Noncommutative probability and statistics (46L53)

Cites Work

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• Quantum probability and spectral analysis of graphs. With a foreword by Professor Luigi Accardi.
• Moment problems in an infinite number of variables
• Identification of the theory of orthogonal polynomials in d-indeterminates with the theory of 3-diagonal symmetric interacting Fock spaces on ℂd
• Interacting Fock Spaces and Gaussianization of Probability Measures
• CHARACTERIZATION OF PROBABILITY MEASURES THROUGH THE CANONICALLY ASSOCIATED INTERACTING FOCK SPACES
• MOMENTS AND COMMUTATORS OF PROBABILITY MEASURES

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