Conditional Fourier-Feynman Transforms with Drift on a Function Space
Joint Authors
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-06-02
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
In this paper we derive change of scale formulas for conditional analytic Fourier-Feynman transforms and conditional convolution products of the functions which are the products of generalized cylinder functions and the functions in a Banach algebra which is the space of generalized Fourier transforms of the complex Borel measures on L2[0,T] using two simple formulas for conditional expectations with a drift on an analogue of Wiener space.
Then we prove that the conditional transform of the conditional convolution product can be expressed by the product of the conditional transforms of each function.
Finally we establish various changes of scale formulas for the conditional transforms and the conditional convolution products.
American Psychological Association (APA)
Cho, Dong Hyun& Park, Suk Bong. 2019. Conditional Fourier-Feynman Transforms with Drift on a Function Space. Journal of Function Spaces،Vol. 2019, no. 2019, pp.1-16.
https://search.emarefa.net/detail/BIM-1174964
Modern Language Association (MLA)
Cho, Dong Hyun& Park, Suk Bong. Conditional Fourier-Feynman Transforms with Drift on a Function Space. Journal of Function Spaces No. 2019 (2019), pp.1-16.
https://search.emarefa.net/detail/BIM-1174964
American Medical Association (AMA)
Cho, Dong Hyun& Park, Suk Bong. Conditional Fourier-Feynman Transforms with Drift on a Function Space. Journal of Function Spaces. 2019. Vol. 2019, no. 2019, pp.1-16.
https://search.emarefa.net/detail/BIM-1174964
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1174964