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Integral Transforms on a Function Space with Change of Scales Using Multivariate Normal Distributions
Author
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-05-30
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Using simple formulas for generalized conditional Wiener integrals on a function space which is an analogue of Wiener space, we evaluate two generalized analytic conditional Wiener integrals of a generalized cylinder function which is useful in Feynman integration theories and quantum mechanics.
We then establish various integral transforms over continuous paths with change of scales for the generalized analytic conditional Wiener integrals.
In these evaluation formulas and integral transforms we use multivariate normal distributions so that the orthonormalization process of projection vectors which are needed to establish the conditional Wiener integrals can be removed in the existing change of scale transforms.
Consequently the transforms in the present paper can be expressed in terms of the generalized cylinder function itself.
American Psychological Association (APA)
Cho, Dong Hyun. 2016. Integral Transforms on a Function Space with Change of Scales Using Multivariate Normal Distributions. Journal of Function Spaces،Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1108669
Modern Language Association (MLA)
Cho, Dong Hyun. Integral Transforms on a Function Space with Change of Scales Using Multivariate Normal Distributions. Journal of Function Spaces No. 2016 (2016), pp.1-9.
https://search.emarefa.net/detail/BIM-1108669
American Medical Association (AMA)
Cho, Dong Hyun. Integral Transforms on a Function Space with Change of Scales Using Multivariate Normal Distributions. Journal of Function Spaces. 2016. Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1108669
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1108669