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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2021.11
- 수록면
- 281 - 296 (16page)
- DOI
- https://doi.org/10.7468/jksmeb.2021.28.4.281
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초록· 키워드
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In this paper we suggest a representation for an inverse transform of the generalized Fourier-Feynman transform on the function space $C_{a,b}[0,T]$. The function space $C_{a,b}[0,T]$ is induced by the generalized Brownian motion process with mean function $a(t)$ and variance function $b(t)$. To do this we study the generalized Fourier-Feynman transform associated with the Gaussian process $\mathcal Z_k$ of exponential-type functionals. We then establish that a composition of the $\mathcal Z_k$-generalized Fourier--Feynman transforms acts like an inverse generalized Fourier--Feynman transform
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참고문헌 (23)
참고문헌 신청
M.D. Brue / 1972 / A Functional Transform for Feynman Integrals Similar to the Fourier Trans-form
R. H. Cameron / 1945 / Some examples of Fourier-Wiener transforms of analytic functionals / Duke Math. J 12:485~488
R.H. Cameron / 1945 / Fourier-Wiener transforms of analytic functionals / Duke Math. J 12:489~507
R.H. Cameron / 1947 / Fourier-Wiener transforms of functionals belonging to L2 over the space C / Duke Math. J 14:99~107
R.H. Cameron / 1976 / An L2 analytic Fourier{Feynman transform / Michigan Math. J 23:1~30
R. H. Cameron / 1945 / Some examples of Fourier-Wiener transforms of analytic functionals / Duke Math. J 12:485~488
R.H. Cameron / 1945 / Fourier-Wiener transforms of analytic functionals / Duke Math. J 12:489~507
R.H. Cameron / 1947 / Fourier-Wiener transforms of functionals belonging to L2 over the space C / Duke Math. J 14:99~107
R.H. Cameron / 1976 / An L2 analytic Fourier{Feynman transform / Michigan Math. J 23:1~30
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