Integral Transforms

Abstract

A function F (u) defined in this way ( t may be either a real or a complex variable) is called an integral transform of f (t) . The function K(t , u) which appears in the integrand is referred to as the kernel of the transform. There are numerous useful integral transforms. Each is specified by the kernel K (t , u) . Some kernels have an associated inverse kernel K −1 (t , u) which (roughly speaking) yields an inverse transform: f (t) = ∫ u2