Korean J. Math. Vol. 20 No. 1 (2012) pp.1-18
DOI: https://doi.org/10.11568/kjm.2012.20.1.001

GENERALIZED CONDITIONAL INTEGRAL TRANSFORMS, CONDITIONAL CONVOLUTIONS AND FIRST VARIATIONS

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Published: Mar 30, 2012

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Bong Jin Kim
Byoung Soo Kim

Abstract

We study various relationships that exist among generalized conditional integral transform, generalized conditional convolution and generalized first variation for a class of functionals defined on $K[0, T ]$, the space of complex-valued continuous functionson $[0, T ]$ which vanish at zero.



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