O.A.Veliev, M.Toppamuk Duman
On the Sturm-Liouville Operator with Summable Potential
(38K, LATeX 2e)

ABSTRACT.  We investigate the Sturm-Liouville operator
\[
L(q)=-\frac{d^{2}}{dx^{2}}+q(x)
\]
in $L_{2}[0,1]$ with strongly regular boundary conditions and arbitrary
Lebesque integrable Potential $q(x)$. We obtain asymptotic formulas of
arbitrary order for eigenvalues and eigenfunctions of $L(q).$ Besides we
give a simple proof of Riesz basisness of eigenfunctions and associeted
functions of this operator.