CHARACTERIZATION OF PROBABILITY MEASURES THROUGH THE CANONICALLY ASSOCIATED INTERACTING FOCK SPACES
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Publication:4652882
DOI10.1142/S0219025704001736zbMath1085.46043MaRDI QIDQ4652882
Luigi Accardi, Aurel I. Stan, Hui-Hsiung Kuo
Publication date: 28 February 2005
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
Contents, measures, outer measures, capacities (28A12) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Noncommutative probability and statistics (46L53)
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d-dimensional orthogonal polynomials: Commutator theorem and other results ⋮ A study of random variables in terms of the number operator ⋮ ROTATION INVARIANT INTERACTING FOCK SPACES ⋮ HEISENBERG–WEYL LIE ALGEBRA AND NATURAL EXPONENTIAL FAMILIES ⋮ On the multi-dimensional Favard lemma ⋮ 1-Meixner random vectors ⋮ Jacobi sequences of squares of random variables ⋮ Quantum stochastic integral representations on interacting Fock space ⋮ Noncommutative quantum decomposition of Gegenbauer white noise process ⋮ Subfactors from graphs induced by association schemes ⋮ Characterization of Product Probability Measures on ℝd in Terms of Their Orthogonal Polynomials ⋮ Two-dimensional Meixner random vectors of class \({\mathcal{M}}_{L}\) ⋮ Identification of the theory of orthogonal polynomials in d-indeterminates with the theory of 3-diagonal symmetric interacting Fock spaces on ℂd ⋮ MOMENTS AND COMMUTATORS OF PROBABILITY MEASURES ⋮ Position–momentum decomposition of linear operators defined on algebras of polynomials ⋮ Jacobi sequences of powers of random variables ⋮ Orthogonal polynomial decomposition for random fields with all moments ⋮ Wick ordering associated with the \((p, q)\)-Gaussian white noise process ⋮ A study of probability measures through commutators ⋮ Multivariate orthogonal polynomials: quantum decomposition, deficiency rank and support of measure ⋮ A characterization of probability measures in terms of semi-quantum operators ⋮ INTERPOLATION OF CHEBYSHEV POLYNOMIALS AND INTERACTING FOCK SPACES ⋮ MOMENTS AND q-COMMUTATORS OF NONCOMMUTATIVE RANDOM VECTORS ⋮ Quantum operators of the semicircle distributions ⋮ Quantum walks on regular graphs with realizations in a system of anyons
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