GENERALIZED FUNCTIONS AND GAUSSIAN PATH INTEGRALS OVER NON-ARCHIMEDEAN FUNCTION SPACES

DOI10.1070/IM1992v039n01ABEH002225zbMath0783.46039OpenAlexW2165920930MaRDI QIDQ3980646

Andrei Yu. Khrennikov

Publication date: 26 June 1992

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1992v039n01abeh002225

zbMATH Keywords

harmonic analysisintegrationgeneralized functionsnonarchimedean physicsGaussian and the Feynman's continual integrals on nonarchimedean functional spacesinfinite dimensional nonarchimedean spacesquantization of a nonarchimedean scalar besonic field

Mathematics Subject Classification ID

Model quantum field theories (81T10) Operations with distributions and generalized functions (46F10) 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)

Related Items (1)

Non-Archimedean white noise, pseudodifferential stochastic equations, and massive Euclidean fields

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