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ISSN : 1226-0657

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Vol.16 No.4

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INTEGRAL TRANSFORMS AND INVERSE INTEGRAL TRANSFORMS WITH RELATED TOPICS ON FUNCTION SPACE I

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2009, v.16 no.4, pp.369-382
Chang, Seung-Jun
Chung, Hyun-Soo
Chang,, S. , & Chung,, H. (2009). INTEGRAL TRANSFORMS AND INVERSE INTEGRAL TRANSFORMS WITH RELATED TOPICS ON FUNCTION SPACE I. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 16(4), 369-382.

Abstract

In this paper we establish various relationships among the generalized integral transform, the generalized convolution product and the first variation for functionals in a Banach algebra S(<TEX>$L_{a,b}^2$</TEX>[0, T]) introduced by Chang and Skoug in [14]. We then derive an inverse integral transform and obtain several relationships involving inverse integral transforms.

keywords
generalized Brownian motion process, generalized integral transform, generalized convolution product, first variation, inverse integral transform

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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