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

정현수|장승준
한국수학교육학회|2009.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제16권 제4호|pp. 369-382

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참고문헌

키워드

generalized convolution productgeneralized Brownian motion processgeneralized integral transformfirst variationinverse integral transform.
주제분류수학

초록

In this paper we establish various relationships among the generalized integral transform, the generalized convolution product and the ¯rst variation for functionals in a Banach algebra [수식] introduced by Chang and Skoug in [14]. We then derive an inverse integral transform and obtain several relationships involving inverse integral transforms.

Abstract

In this paper we establish various relationships among the generalized integral transform, the generalized convolution product and the ¯rst variation for functionals in a Banach algebra [수식] introduced by Chang and Skoug in [14]. We then derive an inverse integral transform and obtain several relationships involving inverse integral transforms.

참고문헌 (23)

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  10. 장승준, "GENERALIZED ANALYTIC FEYNMAN INTEGRALS INVOLVING GENERALIZED ANALYTIC FOURIER-FEYNMAN RANSFORMS AND GENERALIZED INTEGRAL TRANSFORMS", 충청수학회지, 21(2), pp.231~246 (2008), 충청수학회
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