BOCHNER PROBLEM ON A TOPOLOGICAL VECTOR SPACE WITH A QUASI-INVARIANT MEASURE-CHAPTER I

DOI10.2206/KYUSHUMFS.35.1zbMath0471.28008OpenAlexW2085879085MaRDI QIDQ3924435

Yoshiaki Okazaki

Publication date: 1981

Published in: Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2206/kyushumfs.35.1

zbMATH Keywords

Fourier transformquasi-invariant measureabstract Wiener spaceRadon measureBochner's theoremSazonov topologybarelled locally convex space with Hilbertian semi-normsmeasurable dual of a Gaussian measure

Mathematics Subject Classification ID

Measures and integration on abstract linear spaces (46G12) Barrelled spaces, bornological spaces (46A08) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

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