Introduction To Two Dimensional Fractional Fourier-Mellin Transform

The methods of integral transforms are very efficient to solve and research, differential and integral equations of mathematical physics and also studying the behavior of linear systems. With the help of these transforms many problems of the oscillation theory, heat conductivity, neutron diffusion and slowing-down, hydrodynamics, the elasticity theory, and physical kinetics can be solved.

In this paper two dimensional fractional Fourier-Mellin transform is extended in the distributional generalized sense. Analyticity of the distributional generalized two dimensional fractional Fourier-Mellin transform is proved.