S-Type Spaces For Two Dimensional Fractional Fourier-Mellin Transform

Integral transform have been successfully used for almost two centuries in solving many problems in applied mathematics, mathematical physics and engineering science. Fourier transform diagonalizes all linear time-invariant operators, which are building blocks of signal processing and many other branches. This paper introduced the Gelfand-Shilove type topological spaces for generalized two dimensional fractional Fourier-Mellin transform and also discussed some topological properties. Keywords: Fractional Fourier transform, Fractional Mellin transform, Fractional Fourier-Mellin transform, Testing function.