Characterization of Product Probability Measures on ℝd in Terms of Their Orthogonal Polynomials

DOI10.1142/S1230161216500220zbMath1386.60016OpenAlexW2582337082MaRDI QIDQ2965701

Ameur Dhahri, Luigi Accardi, Abdallah Dhahri

Publication date: 3 March 2017

Published in: Open Systems & Information Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1230161216500220

zbMATH Keywords

multivariable orthogonal polynomialsmulti-dimensional Jacobi sequencesproduct probability measures on \(\mathbb{R}^d\)

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Cites Work

• The Recursion Formulas for Orthogonal Polynomials innVariables
• Orthogonality and Recursion Formulas for Polynomials in n Variables
• CHARACTERIZATION OF PROBABILITY MEASURES THROUGH THE CANONICALLY ASSOCIATED INTERACTING FOCK SPACES
• MOMENTS AND COMMUTATORS OF PROBABILITY MEASURES

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