| In contemporary times, it become one of the basic and most important methods that use the distributions to study the theories of partial differential equation. In order to solve the different problems arised in the theories of linear partial differential operators, the notion of distribution has been expanded in sevral ways. Since the sixties of last century, some notions of the ultradistributions have been given based on the weight function by A,Beurling[1], G.Bjorck[2], and H,komatsu[3-4] and so on. Later in the eighties, these ideas has been expanded to theω-ultradistributions by J.Bonet, R.Mise, B,A.Taylor and D.vogt etc[5-12,15]. Subsequently they investigated the properties ofω-ultraditributions and the existance of the right inverse of the linear partial different operators on theω-ultradistribution spaces [13,14], and obtained many important results.In the present paper, we discuss theω-ultradistributions of Beurling type D'ω(Rn) using Fourier-Laplace transform, give the regularization of D'ω(Rn) and the Paley Wiener theory ofε'ω(Rn), and obtain the following results:Theorem 1 when T∈D'ω(Rn), its regular sequences have the following resultTheorem 2 (1) let T∈ε'ω(Rn), suppose there are a compact K (?) Rn andλ, C > 0 such thatthen T is entire function and satisfyand(2) let g∈A(Cn), suppose there are a compact K (?) Rn, C > 0 and m∈N, suchthatthen there is T∈ε'ω(Rn), such that T = g, and supp T (?)K.
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