Generalized Feynman integrals via conditional Feynman integrals
type: Item
instance of: scholarly article
title: Generalized Feynman integrals via conditional Feynman integrals
zbMATH Open document ID: 0799.60049
author: Dong Myung Chung
author: Chull Park
author: David Skoug
published in: Michigan Mathematical Journal
publication date: 1994-01-16T00:00:00Z
review text: The paper is a continuing exercise by the authors to arrive at the most generalized version of Feynman integrals studied by Cameron and his collaborators. The starting point is the Wiener integral \(\int_{C_ 0[0,T)} F(\lambda^{-1/2} Z(x,.)+\xi) (\lambda^{-1/2} Z(x,T)+\xi)m(dx)\) where \(Z\) is the Gaussian process \(Z(x,t)=\int^ t_ 0 h(s)dx(s)\) with \(h\) in \(L_ 2[0,T]\) and the integral on the right-hand side denotes the Paley-Wiener-Zygmund stochastic integral. The authors make free use of their earlier results relating to the theory of conditional Feynman integral and obtain formulae for the analytic operator-valued Feynman integrals of various classes of functionals.
Mathematics Subject Classification ID: 60H05
Mathematics Subject Classification ID: 28A25
Mathematics Subject Classification ID: 60B11
Mathematics Subject Classification ID: 28B05
Mathematics Subject Classification ID: 28C20
zbMATH DE Number: 474976
zbMATH Keywords: Feynman integrals
zbMATH Keywords: Paley-Wiener-Zygmund stochastic integral
zbMATH Keywords: conditional Feynman integral
zbMATH Keywords: operator-valued Feynman integrals
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1307/mmj/1029004758
OpenAlex ID: W1969220662
DOI: 10.1307/MMJ/1029004758
description: scientific article; zbMATH DE number 474976