A change of scale formula for Wiener integrals of unbounded functions
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Publication:1880988
DOI10.1216/rmjm/1181069911zbMath1048.28010OpenAlexW1978525356MaRDI QIDQ1880988
T. S. Song, Byoung Soo Kim, Kun Soo Chang, Il Yoo
Publication date: 27 September 2004
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1216/rmjm/1181069911
Fresnel classanalytic Feynman integralabstract Wiener spacechange of scale formula for Wiener integrals
Related Items
Analogues of conditional Wiener integrals and their change of scale transformations on a function space ⋮ Integral transforms on a function space with change of scales using multivariate normal distributions ⋮ Note on generalized Wiener integrals ⋮ Fourier-Feynman transforms of unbounded functionals on abstract Wiener space ⋮ Change of scale formulas for Wiener integrals related to Fourier-Feynman transform and convolution ⋮ Integration by parts formulas for analytic Feynman integrals of unbounded functionals ⋮ CHANGE OF SCALE FORMULAS FOR FUNCTION SPACE INTEGRALS RELATED WITH FOURIER-FEYNMAN TRANSFORM AND CONVOLUTION ON Ca,b[0, T] ⋮ Conditional Fourier-Feynman transforms with drift on a function space ⋮ A change of scale formula for a function space integral on $C_{a,b}[0,T$]
Cites Work
- Analytic and sequential Feynman integrals on abstract Wiener and Hilbert spaces, and a Cameron-Martin formula
- Scale-invariant measurability in abstract Wiener spaces
- Gaussian measures in Banach spaces
- Scale-invariant measurability in Wiener space
- Notes on analytic Feynman integrable functionals
- A change of scale formula for Wiener integrals on abstract Wiener spaces
- The translation pathology of Wiener space
- Functions in the Fresnel Class
- The behavior of measure and measurability under change of scale in Wiener space
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