FOURIER TYPE TRANSFORMS AND THEIR CONVOLUTIONS ON $\mathbb{R}^n$

In this paper the operational properties of two integral transforms of Fourier type are defined. The purpose of the study is to define the convolution of the Fourier type transform on $L_1(\mathbb{R}^n)$ and $L_2(\mathbb{R}^n)$. Also we obtained the Inversion, Uniqueness and Plancherel's theorem of these two transform. Lastely we have applied these transform to differential equation of higher order for the solution.