On Sazonov type topology in p-adic Banach space

DOI10.1007/BF01304210zbMath0585.46067MaRDI QIDQ1071229

Andrzej Mạdrecki

Publication date: 1985

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173533

zbMATH Keywords

S-spacecharacteristic functionaladditive characterpositive definitelocally compact, non-discrete complete valued fieldnon-Archimedean valuedSazonov type topology

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Non-Archimedean valued fields (12J25)

Related Items (4)

Topological transformation groups of manifolds over non-Archimedean fields, their representations, and quasi-invariant measures. I. ⋮ Characteristic functionals of probabilistic measures in DS-groups and related topics ⋮ Some negative results on existence of Sazonov topology in \(l\)-adic Frechet spaces ⋮ Local field Brownian motion

Cites Work

• Gaussian measures in Banach spaces
• Harmonic analysis on \(n\)-dimensional vector spaces over local fields. I: Basic results on fractional integration
• Fourier Analysis on Local Fields. (MN-15)
• Random Linear Functionals
• Existence and Convergence of Probability Measures in Banach Spaces
• Harmonic analysis on Hilbert space
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