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Generalized Integral Transforms via the Series Expressions

Author

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  • Hyun Soo Chung

    (Department of Mathematics, Dankook University, Cheonan 31116, Korea)

Abstract

From the change of variable formula on the Wiener space, we calculate various integral transforms for functionals on the Wiener space. However, not all functionals can be obtained by using this formula. In the process of calculating the integral transform introduced by Lee, this formula is also used, but it is also not possible to calculate for all the functionals. In this paper, we define a generalized integral transform. We then introduce a new method to evaluate the generalized integral transform for functionals using series expressions. Our method can be used to evaluate various functionals that cannot be calculated by conventional methods.

Suggested Citation

  • Hyun Soo Chung, 2020. "Generalized Integral Transforms via the Series Expressions," Mathematics, MDPI, vol. 8(4), pages 1-17, April.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:4:p:539-:d:342006
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    Cited by:

    1. Hyun Soo Chung, 2021. "Basic Fundamental Formulas for Wiener Transforms Associated with a Pair of Operators on Hilbert Space," Mathematics, MDPI, vol. 9(21), pages 1-12, October.

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