This paper is concerned with Analysis of heat equation in Rn. Analysis ofrnheat equation in Rn regarded as Fourier Transformation which has di erentrnproperties and Inverse of Fourier Transformation that is important to solvernheat equation in 0n0 spaces. using separation of variables for solving withrnboundary conditions like Dirichlet, Neumann and periodic conditions. Byrnusing these condition we solve heat equations in Rn is solved.