Feynman measures on locally convex spaces
type: Item
instance of: scholarly article
title: Feynman measures on locally convex spaces
zbMATH Open document ID: 0674.46024
DOI: 10.1007/BF00969875
published in: Siberian Mathematical Journal
publication date: 1988-01-01T00:00:00Z
review text: A Fourier transformation of objects which are linear mappings from a function space over a locally convex space X to another locally convex space E is defined. By distribution functions the author understands linear transformations from the space of Fourier transforms to the locally convex space E. Subsequently the Fourier transforms of distribution functions are defined. In this frame a Feynman integral is introduced and some related notions, - e.g. the integration by parts and the convolution product - investigated. An example indicating connections with quantum physics is supplied.
Mathematics Subject Classification ID: 46F25
Mathematics Subject Classification ID: 81S40
Mathematics Subject Classification ID: 46G12
Mathematics Subject Classification ID: 28C20
zbMATH DE Number: 4103737
zbMATH Keywords: Fourier transformation
zbMATH Keywords: distribution functions
zbMATH Keywords: Feynman integral
zbMATH Keywords: integration by parts
zbMATH Keywords: convolution product
author: Andrei Khrennikov
reviewed by: Wojtek Slowikowski
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4103737