ON FOURIER TRANSFORMS AND ITS EXTENSION TO A SPACE OF GENERALIZED FUNCTIONS

Abstract

Pseudoquotients generalize the field of quotients of integral domains. Many integral transforms are widely extended to Boehmians but a few to pseudoqoutients. In this paper we display an idea of research. We consider certain space of pseudoquotients. The Fourier transform of a pseudoquotient in the proposed space is introduced as a pseudoquotient in the same space. Some properties are established.