L^1-Convergence of Double Fourier Transform in L^p (R) Spaces, p≥1

Abstract

In this research article, we have given a method which restrict the double fourier transform of fϵL^p (R) spaces, 1≤p≤∞ . Further, we have discussed the convergence by using the approximate identities. The aim of this paper is to extend the results of  K. Devendra and S. Dimple[3] from one dimensional to two-dimensional trigonometric series.