d-dimensional orthogonal polynomials: Commutator theorem and other results

DOI10.1142/S0219025717500114zbMath1373.60127OpenAlexW2623482014MaRDI QIDQ5276033

Luigi Accardi, Abdallah Dhahri

Publication date: 14 July 2017

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025717500114

zbMATH Keywords

commutator theoremquantum decomposition of a classical random variable

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) White noise theory (60H40)

Cites Work

• 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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