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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2009.1
- 수록면
- 107 - 119 (13page)
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In this paper we define a Banach algebra on very general function space
induced by a generalized Brownian motion process rather than on Wiener space, but the Banach algebra can be considered as a generalization of Fresnel class defined on Wiener space. We then show that several interesting functions in quantum mechanic are elements of the class.
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참고문헌 (13)
참고문헌 신청
G. Kallianpur / 1984 / Generalized Feynman integrals using analytic continua-tion in several complex variables. Stochastic Analysis and Applications / Marcel Dekker, Inc
G. Kallianpur / 1985 / Analytic and sequential Feynman in- tegrals on abstract Wiener and Hilbert spaces, and a Cameron-Martin formula / Ann.Inst. Henri Poincare 21 : 323 ~
G.W. Johnson / 1983 / Notes on the Feynman integral, III: The Schroedinger equation / Paci?c J. Math 105 : 321 ~ 358
G.W. Johnson / 1984 / An unsymmetric Fubini theorem / Amer. Math. Monthly 91 : 131 ~ 133
H.-H. Kuo / 1975 / Gaussian measure in Banach spaces. Lecture Notes in Mathematics, 463 / Springer
G. Kallianpur / 1985 / Analytic and sequential Feynman in- tegrals on abstract Wiener and Hilbert spaces, and a Cameron-Martin formula / Ann.Inst. Henri Poincare 21 : 323 ~
G.W. Johnson / 1983 / Notes on the Feynman integral, III: The Schroedinger equation / Paci?c J. Math 105 : 321 ~ 358
G.W. Johnson / 1984 / An unsymmetric Fubini theorem / Amer. Math. Monthly 91 : 131 ~ 133
H.-H. Kuo / 1975 / Gaussian measure in Banach spaces. Lecture Notes in Mathematics, 463 / Springer
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