On a Gaussian free measure on the space of distributions over the field of \(p\)-adic numbers.

zbMATH Open1039.28014MaRDI QIDQ2754849

M. R. Sait-Ametov

Publication date: 4 November 2001

Published in: Methods of Functional Analysis and Topology (Search for Journal in Brave)

zbMATH Keywords

Green functionGaussian measureelliptic pseudo-differential operatorSchwartz-Bruhat space

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Generalized stochastic processes (60G20) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Probability theory on linear topological spaces (60B11)

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