Quasi-analyticity and Determinacy of the Full Moment Problem from Finite to Infinite Dimensions

DOI10.1007/978-3-319-07245-6_9OpenAlexW2479006661MaRDI QIDQ5038282

Maria Infusino

Publication date: 30 September 2022

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.3573

zbMATH Keywords

moment problemrealizabilitylog-convexitydeterminacyinfinite dimensional moment problemnuclear spaceconvex regularizationquasi-analytic class

Mathematics Subject Classification ID

Moment problems (44A60) (C^infty)-functions, quasi-analytic functions (26E10) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)

Related Items

Projective limit techniques for the infinite dimensional moment problem ⋮ Moment problem in infinitely many variables ⋮ Infinite dimensional moment problem: open questions and applications ⋮ On diffusive 2D Fokker-Planck-Navier-Stokes systems

Cites Work

• Two parameter moment problems
• Analytic vectors
• The multidimensional moment problem
• Density questions in the classical theory of moments
• Integral representations for Schwinger functionals and the moment problem over nuclear spaces
• Extremal decomposition of Wightman functions and of states on nuclear \(^*\)-algebras by Choquet theory
• Euclidean field theory. I: The moment problem
• The classical moment problem as a self-adjoint finite difference operator
• Moment problems and polynomial approximation
• When is a probability measure determined by infinitely many projections?
• Determinate multidimensional measures, the extended Carleman theorem and quasi-analytic weights
• Sums of squares on real algebraic curves
• Unbounded operator algebras and representation theory.
• Some generalizations of the classical moment problem
• Subspaces with equal closure
• The full moment problem on subsets of probabilities and point configurations
• The full infinite dimensional moment problem on semi-algebraic sets of generalized functions
• Quasi-analytic vectors
• Quasi-analytic functions, Laplace operator, positive kernels
• Multivariate determinates
• On the relation between the multidimensional moment problem and the one-dimensional moment problem.
• On the moment problem of closed semi-algebraic sets
• A Simple Proof of the Denjoy-Carleman Theorem
• On the absolute summability of Fourier multiple series
• Some Theorems on Quasi-Analyticity for Functions of Several Variables
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item