 03173 O.A.Veliev, M.Toppamuk Duman
 On the SturmLiouville Operator with Summable Potential
(38K, LATeX 2e)
Apr 14, 03

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Abstract. We investigate the SturmLiouville 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.
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