Results 161 to 170 of about 32,626 (182)

Fourier-Feynman transform, convolution and first variation

Acta Mathematica Hungarica, 2003
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Ahn, J. M., Chang, K. S., Kim, B. S., Yoo, I.   +3 more
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Fourier-Feynman transforms and the first variation

Rendiconti del Circolo Matematico di Palermo, 1998
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Park, Chull, Skoug, David, Storvick, David   +2 more
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Conditional Fourier-Feynman transform given infinite dimensional conditioning function on abstract Wiener space

Czechoslovak Mathematical Journal, 2023
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Choi, Jae Gil, Shim, Sang Kil
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Relationship Between the Analytic Generalized Fourier–Feynman Transform and the Function Space Integral

Results in Mathematics, 2021
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A MULTIPLE GENERALIZED FOURIER–FEYNMAN TRANSFORM VIA A ROTATION ON WIENER SPACE

International Journal of Mathematics, 2012
In this paper we use a rotation property of Wiener measure to define a very general multiple Fourier–Feynman transform on Wiener space. We then proceed to establish its many algebraic properties as well as to establish several relationships between this generalized multiple transform and the corresponding generalized convolution product.
Choi, Jae Gil, Skoug, David, Chang, Seung Jun   +2 more
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Analytic Fourier–Feynman transforms associated with bounded linear operators on abstract Wiener spaces

Journal of Mathematical Analysis and Applications, 2023
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A new aspect of the analytic Fourier-Feynman transform and its applications

Integral Transforms and Special Functions, 2014
In this paper we define a modified analytic function space Fourier-Feynman transform to explain some physical phenomenon. We then establish various relationships involving the modified analytic function space Fourier-Feynman transform with related topics.
Seung Jun Chang, Hyun Soo Chung
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Relationships between the ∗w-product and the L1 analytic Fourier–Feynman transforms

Integral Transforms and Special Functions, 2017
ABSTRACTIn this paper, we introduce the concept of the ∗w-product which is a very useful tool to obtain the L1 analytic Fourier–Feynman transform. We then use this concept to obtain various integration formulas involving the ∗w-product, the convolution product and the first variation.
Seung Jun Chang, Hyun Soo Chung, Il Yong Lee   +2 more
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Fourier–Feynman transforms and Wiener integrals over paths in abstract Wiener spaces

Integral Transforms and Special Functions, 2005
We establish some relationships between L p -analytic Fourier–Feynman transforms and Wiener integrals over paths on C 0(B), the space of abstract Wiener space valued continuous functions on [0, T], for certain cylinder-type functions of the form where f ∈ L p (R mn ), 1 ≤ p ≤ 2 and 0 = s 0 ≤ s 1 ≤ ··· ≤ s n  = T is a partition of [0, T].
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FOURIER-FEYNMAN TRANSFORMS ON WIENER SPACES

Stochastic Analysis and Mathematical Physics, 2004
I. YOO, K.S. CHANG, D.H. CHO, B.S. KIM, T.S. SONG   +4 more
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