A Loeb-Measure Approach to Theorems by Prohorov, Sazonov and Gross

DOI10.2307/1998463zbMath0484.60007OpenAlexW4240535676MaRDI QIDQ3943731

Tom Lindstrøm

Publication date: 1982

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://urn.nb.no/URN:NBN:no-48144

zbMATH Keywords

projective limitsnonstandard analysismeasurable normscylindrical measuresFourier-transformsLoeb-measure

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Convergence of probability measures (60B10) Nonstandard models in mathematics (03H05) Nonstandard analysis (26E35)

Related Items (6)

On the Clark Ocone formula for the abstract Wiener space ⋮ Generalized Bochner theorem on locally convex spaces ⋮ Simple nonstandard proofs of Daniell-Kolmogorov-type theorems ⋮ The allure of infinitesimals: Sergio Albeverio and nonstandard analysis ⋮ On the continuity of pathwise solutions to Langevin equations in infinite dimensions ⋮ Radon extension of cylindrical measures on weak dual multi-Hilbertian spaces and the generalized Bochner theorem

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