Integral transforms, convolution products, and first variations
Bong Jin Kim,1Byoung Soo Kim,2and David Skoug3
Received21 May 2003
Abstract
We establish the various relationships that exist among the integral transform ℱα,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.