On the multi-dimensional Favard lemma

DOI10.1515/ROSE-2017-0010zbMath1366.42031arXiv1310.8170OpenAlexW2613859492WikidataQ124934909 ScholiaQ124934909MaRDI QIDQ2397509

Abdallah Dhahri, Ameur Dhahri

Publication date: 22 May 2017

Published in: Random Operators and Stochastic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.8170

zbMATH Keywords

atomic measuresinterlacing Fock spacesJacobi sequencesmultidimensional Favard lemma

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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• The Wigner semi-circle law in quantum electro dynamics
• Identification of the theory of orthogonal polynomials in d-indeterminates with the theory of 3-diagonal symmetric interacting Fock spaces on ℂd
• Recurrence relations, continued fractions, and orthogonal polynomials
• The Recursion Formulas for Orthogonal Polynomials innVariables
• Orthogonality and Recursion Formulas for Polynomials in n Variables
• 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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