PageHeader : Funcialaj Ekvacioj, 8 (1966), 109-141 Title : On a Non Selfadjoint Ordinary Differential Operator AuthorInfo : By Mitiko TAKAHASI AuthorInfo : (Rikkyo University) section : Introduction section : 1. Differential operators section : 2. Equations $L[x]=l\cdot x+f$ and $\hat{L}[x]=\overline{l}\cdot x+f$ subsection : 3. Canonical decompositions of $\mathfrak{S}(l),\hat{\mathfrak{S}}(l)$ section : 4. Integral operators section : 5. Operators in $L^{\mathit{2}}(a,b)$ induced from $L,\hat{L}$ . section : 6. Oprators induced from $L,\hat{L}$ (continued) section : 7. Restrictions of L to subintervals of (a,b) section : 8. Analyticity of $\mathfrak{E}(l)$ , $\mathfrak{F}(l)$ , $\mathfrak{C}^{\hat}(l),\hat{\mathfrak{F}}(l)$ . section : 9. Domain $\mathfrak{D}\bm{,}\hat{\mathfrak{D}}$ , $\mathfrak{B}\bm{,}\hat{\mathfrak{B}}$ and their linear submanifold section : 10. Restrictions of T section : 11. Restrictions of S. section : Bibliography