Geodesic
An integral transform via the bounded linear operators on abstract Wiener space
Filomat, Tome 37 (2023) no. 17, p. 5541

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DOI

In this paper, we obtain some results of a more rigorous mathematical structure that can guarantee the orthogonality of an orthogonal set even when results and formula on abstract Wiener integrals or some transforms using bounded linear operators. We then establish the existence of an integral transform on abstract Wiener space. Finally, we obtain some fundamental formulas with respect to the integral transform involving the Cameron-Storvick type theorem.
DOI : 10.2298/FIL2317541C
Classification : 60J65, 28C20, 46B10
Keywords: Bounded linear operator, Integral transform, Convolution product, First variation, Cameron-Storvick type theorem 
Hyun Soo Chung. An integral transform via the bounded linear operators on abstract Wiener space. Filomat, Tome 37 (2023) no. 17, p. 5541 . doi: 10.2298/FIL2317541C
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     title = {An integral transform via the bounded linear operators on abstract {Wiener} space},
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     year = {2023},
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     doi = {10.2298/FIL2317541C},
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     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2317541C/}
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