INTEGRAL TRANSFORMS, CONVOLUTION PRODUCTS, AND FIRST VARIATIONS

Authors

Bong Jin Kim, Daejin UniversityFollow
Byoung Soo Kim, Yonsei UniversityFollow
David Skough, University of Nebraska-LincolnFollow

Document Type

Article

Date of this Version

2004

Citation

IJMMS 2004:11, 579–598

Comments

© Hindawi Publishing Corp.

Abstract

We establish the various relationships that exist among the integral transform F_α,βF, the convolution product (F∗G)α, and the first variation δF for a class of functionals defined on K[0,T], the space of complex-valued continuous functions on [0,T] which vanish at zero.