PageHeader : Funkcialaj Ekvacioj, 9 (1966), 219-249 Title : On the Uniqueness of Solutions of the Cauchy Title : Problem for Systems of Linear Partial Diff.erential Title : Equations with Polynomial Coefficients AuthorInfo : By Takesi YAMANAKA AuthorInfo : (Rikkyo University) section : Contents. section : 1. Introduction. section : 2. Notational preparations. section : 3. Differential operators on the space $S_{\alpha,A}^{\beta,B}$ . section : 4. Cauchy problem within the space $S_{a,A}^{\beta,B}$ , I. section : 5. Cauchy problem within the space $S_{a,A}^{\beta,B}$ , II. section : 6. Uniqueness theorem, I. section : 7. Uniqueness theorem, II. section : 8. Some special examples of uniqueness and non-uniqueness. section : References