On Double Natural Transform of Boehmians

Abstract

In this paper we are going to define the Double Natural transform of Bounded support and we develop this theory with the help of Zemanian technique. Here we are going to define the Integrable Boehmian and the main focus or objective of this paper is to define Double Natural transform for Integrable Boehmian, and this theory is developed and defined with the help of Mikusinski’s theory. D.Nemzer, P. Mikusinski and other discovered several applications of Boehmians. Also we establish some properties of Double Natural transform with other integral transforms. The Double Natural transform have been extended to generalized function and some of its distributional properties are obtained. Further we extend this class to Integrable Boehmians.