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arxiv: 1803.03011 · v1 · pith:J5F4CP3Pnew · submitted 2018-03-08 · 🧮 math.SP · math.CA

Inverse Sturm-Liouville problems with summable potential

classification 🧮 math.SP math.CA
keywords conditionsinftypotentialsturm-liouvillesummableadvanceboundaryconstants
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We describe the necessary and sufficient conditions for two sequences {\mu_n}^\infty_n=0 and {a_n}^\infty_n=0 to be correspondingly the set of eigenvalues and the set of norming constants of a Sturm-Liouville problem with real summable potential q and in advance fixed separated boundary conditions.

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