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http://dx.doi.org/10.4134/JKMS.j190276

GENERALIZED CAMERON-STORVICK TYPE THEOREM VIA THE BOUNDED LINEAR OPERATORS  

Chang, Seung Jun (Department of Applied Mathematics Dankook University)
Chung, Hyun Soo (Department of Mathematics Dankook University)
Publication Information
Journal of the Korean Mathematical Society / v.57, no.3, 2020 , pp. 655-668 More about this Journal
Abstract
In this paper, we establish the generalized Cameron-Storvick type theorem on function space. We then give relationships involving the generalized Cameron-Storvick type theorem, modified generalized integral transform and modified convolution product. A motivation of studying the generalized Cameron-Storvick type theorem is to generalize formulas and results with respect to the modified generalized integral transform on function space. From the some theories and formulas in the functional analysis, we can obtain some formulas with respect to the translation theorem of exponential functionals.
Keywords
Generalized Brownian process; modified generalized integral transform; modified convolution product; first variation; translation theorem; Cameron-Strovick type theorem;
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Times Cited By KSCI : 3  (Citation Analysis)
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