Analytic Feynman integrals of transforms of variation of cylinder type functions over Wiener paths in abstract Wiener space

• Autorzy: Myung Kim
• Języki publikacji: EN

Abstrakty

EN

In this paper, we evaluate various analytic Feynman integrals of first variation, conditional first variation, Fourier-Feynman transform and conditional Fourier-Feynman transform of cylinder type functions defined over Wiener paths in abstract Wiener space. We also derive the analytic Feynman integral of the conditional Fourier-Feynman transform for the product of the cylinder type functions which define the functions in a Banach algebra introduced by Yoo, with n linear factors.

Słowa kluczowe

EN

Conditional first variation; conditional Fourier-Feynman transform; conditional Wiener integral; Feynman integral; first variation; Fourier-Feynman transform; Wiener integral; Wiener paths in abstract Wiener space; 28C20

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2005
• Tom: 3
• Numer: 3
• Strony: 475-495

Daty

wydano

2005-09-01

online

2005-09-01

Twórcy

autor

Myung Kim

• Kyonggi University

Bibliografia

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Identyfikatory

DOI

10.2478/BF02475918