Analytic Feynman Integral and a Change of Scale Formula for Wiener Integrals of an Unbounded Cylinder Function
Keyword(s):
We investigate the behavior of the unbounded cylinder function F x = ∫ 0 T α 1 t d x t 2 k ⋅ ∫ 0 T α 2 t d x t 2 k ⋅ ⋯ ⋅ ∫ 0 T α n t d x t 2 k , k = 1,2 , … whose analytic Wiener integral and analytic Feynman integral exist, we prove some relationships among the analytic Wiener integral, the analytic Feynman integral, and the Wiener integral, and we prove a change of scale formula for the Wiener integral about the unbounded function on the Wiener space C 0 0 , T .
1998 ◽
Vol 21
(1)
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pp. 73-78
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A change of scale formula for Wiener integrals of cylinder functions on the abstract Wiener space II
2001 ◽
Vol 25
(4)
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pp. 231-237
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2014 ◽
Vol 27
(2)
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pp. 249-260
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Keyword(s):
2008 ◽
Vol 38
(1)
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pp. 61-90
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Keyword(s):
2006 ◽
Vol 21
(1)
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pp. 75-88
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