MODULATION AND PARSEVAL’S THEOREM FOR DISTRIBUTIONAL TWO DIMENSIONAL FOURIER - MELLIN TRANSFORM

The Mellin transform is an integral transform that may be regarded as the multiplicative version of the two - sided Laplace transform and t he Fourier transform is a reversible, linear transform with many important properties. M athematically, Mellin Transform is closely related to Fourier Transform, and is often used in number theory, mathematical statistics, the theory of asymptotic expansions and Fourier Transform was first introduce to solve PDEs and also has enormous applications in mathematical physics, engineering and applied sciences. Although the applications of these two integral transform are different from each other but combination of these two integral transform may be helpful in solving different problems which could not be solved by usi ng these transforms separately. In the present work, we have proved the Modulation and Parseval’s Theorem of Two Dimensional Fourier - Mellin Transform.