• 대한수학회지
• /
• 제19권1호
• /
• pp.61-67
• /
• 1982

• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제7권1호
• /
• pp.41-47
• /
• 2000

Johnson and Skoug [Pacific J. Math. 83(1979), 157-176] introduced the concept of scale-invariant measurability in Wiener space. And the applied their results in the theory of the Feynman integral. A converse measurability theorem for Wiener space due to the $K{\ddot{o}}ehler$ and Yeh-Wiener space due to Skoug[Proc. Amer. Math. Soc 57(1976), 304-310] is one of the key concept to their discussion. In this paper, we will extend the results on converse measurability in Wiener space which Chang and Ryu[Proc. Amer. Math, Soc. 104(1998), 835-839] obtained to abstract Wiener space.

• 대한수학회지
• /
• 제38권2호
• /
• pp.409-420
• /
• 2001

In this paper we establish a Fubini theorem for various analytic Wiener and Feynman integrals. We then proceed to obtain several integration formulas as corollaries.

• 대한수학회지
• /
• 제38권2호
• /
• pp.421-435
• /
• 2001

In this paper we use a general Fubini theorem established in [13] to obtain several Feynman integration formulas involving analytic Fourier-Feynman transforms. Included in these formulas is a general Parseval's relation.