Moment problems in an infinite number of variables

DOI10.1142/S0219025715500241zbMath1336.44004OpenAlexW2219717928MaRDI QIDQ2790329

Palle E. T. Jorgensen, David P. Kimsey, Daniel Alpay

Publication date: 3 March 2016

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/s0219025715500241

zbMATH Keywords

stochastic processesmoment problemsinfinite-dimensional analysis

Mathematics Subject Classification ID

Generalized stochastic processes (60G20) Moment problems (44A60)

Related Items (16)

d-dimensional orthogonal polynomials: Commutator theorem and other results ⋮ Projective limit techniques for the infinite dimensional moment problem ⋮ Commutative Toeplitz algebras and their Gelfand theory: old and new results ⋮ The strong truncated Hamburger moment problem with and without gaps ⋮ Dirichlet polynomials and a moment problem ⋮ New Hilbert space tools for analysis of graph Laplacians and Markov processes ⋮ On a certain martingale representation and the related Infinite dimensional moment problem ⋮ Identification of the theory of orthogonal polynomials in d-indeterminates with the theory of 3-diagonal symmetric interacting Fock spaces on ℂd ⋮ Infinite dimensional moment problem: open questions and applications ⋮ Orthogonal polynomial decomposition for random fields with all moments ⋮ Asymptotic semicircular law induced by \(p\)-adic number fields \(\mathbb{Q}_p\) over primes ⋮ The full moment problem on subsets of probabilities and point configurations ⋮ Moment problem for symmetric algebras of locally convex spaces ⋮ Semicircular-like and semicircular laws on Banach \(*\)-probability spaces induced by dynamical systems of the finite adele ring \(A_{\mathbb{Q}}\) ⋮ Semicircular elements induced by p-adic number fields ⋮ Certain \(\ast\)-homomorphisms acting on unital \(C^\ast\)-probability spaces and semicircular elements induced by \(p\)-adic number fields over primes \(p\)

Cites Work

• The multidimensional moment problem
• On the relation between the multidimensional moment problem and the one-dimensional moment problem.
• A homeomorphism relating path spaces of stochastic processes with values in ℝ^ℤ respectively (S¹)^ℤ
• On the Momentum Problem for Distribution Functions in More than One Dimension
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