UNIQUENESS IN MOMENT — PROBLEMS OVER NUCLEAR SPACES AND WEAK CONVERGENCE OF PROBABILITY MEASURES

DOI10.1142/S0129055X9300019XzbMath0796.46031OpenAlexW2069787166MaRDI QIDQ4285581

Erwin A. K. Brüning

Publication date: 17 April 1994

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129055x9300019x

zbMATH Keywords

truncated moment problemsordered topological vector spacesFourier transforms of Radon probability measuresBochner-Minlos-Schwartz theoreminfinite dimensional moment problems over real nuclear spacespointwise convergence of the associated sequence of moment functionals on the tensor algebrauniqueness of the representing measureweak convergence of sequences of measures

Mathematics Subject Classification ID

Measures and integration on abstract linear spaces (46G12) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Spaces of measures (46E27)

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