A Cameron-Storvick theorem for the analytic Feynman integral associated with Gaussian paths on a Wiener space and applications
type: Item
instance of: scholarly article
title: A Cameron-Storvick theorem for the analytic Feynman integral associated with Gaussian paths on a Wiener space and applications
zbMATH Open document ID: 1396.28027
author: Seung Jun Chang
author: Jae Gil Choi
published in: Communications on Pure and Applied Analysis
publication date: 2018-08-23T00:00:00Z
Mathematics Subject Classification ID: 28C20
Mathematics Subject Classification ID: 60J65
Mathematics Subject Classification ID: 60G15
zbMATH DE Number: 6923942
zbMATH Keywords: Paley-Wiener-Zygmund stochastic integral
zbMATH Keywords: Gaussian process
zbMATH Keywords: translation theorem
zbMATH Keywords: generalized analytic Feynman integral
zbMATH Keywords: Cameron-Storvick theorem
MaRDI profile type: Publication
full work available at URL: cpaa.2018106
OpenAlex ID: W2807368615
cites work: The First Variation of an Indefinite Wiener Integral
cites work: Additive Functionals on a Space of Continuous Functions. I
cites work: Transformations of Wiener integrals under translations
cites work: The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals
cites work: A Translation Theorem for Analytic Feynman Integrals
cites work: Q4744503
cites work: Q4764535
cites work: Relationships involving generalized fourier–feynman transform, convolution and first variation
cites work: A multiple generalized Fourier-Feynman transform via a rotation on Wiener space
cites work: Generalized Feynman integrals via conditional Feynman integrals
cites work: Q4255465
cites work: Gaussian Hilbert Spaces
cites work: Notes on the Feynman integral. II
cites work: Abstract Wiener spaces and applications to analysis
cites work: Integration by parts for abstract Wiener measures
cites work: Integration by parts formula and the Stein lemma on abstract Wiener space
cites work: A Note on Paley-Wiener-Zygmund Stochastic Integrals
cites work: A Kac-Feynman integral equation for conditional Wiener integrals
cites work: Fourier-Feynman transforms and the first variation
cites work: Q3718976
cites work: Q4403502
Wikidata QID: Q129685714
DOI: 10.3934/CPAA.2018106
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description: scientific article; zbMATH DE number 6923942