An application of the fixed point theorem to the inverse Sturm-Liouville problem

Details An application of the fixed point theorem to the inverse Sturm-Liouville problem An application of the fixed point theorem to the inverse Sturm-Liouville problem

2009-10-27

arxiv.org/abs/0910.5086v1

Mathematics

Spectral Theory

10 pages

Scientific paper

We consider Sturm-Liouville operators $-y''+v(x)y$ on $[0,1]$ with Dirichlet
boundary conditions $y(0)=y(1)=0$. For any $1\le p<\infty$, we give a short
proof of the characterization theorem for the spectral data corresponding to
$v\in L^p(0,1)$.

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