On the norming constants of the Sturm-Liouville problem

Tigran Harutyunyan; Avetik Pahlevanyan

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arXiv · 1608.05576

On the norming constants of the Sturm-Liouville problem

Tigran Harutyunyan·Avetik Pahlevanyan

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Abstract

We derive new asymptotic formulae for the norming constants of Sturm-Liouville problem with summable potentials, which generalize and make more precise previously known formulae. Moreover, our formulae take into account the smooth dependence of norming constants on boundary conditions. We also find some new properties of the remainder terms of asymptotics.

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Tigran Harutyunyan, Avetik Pahlevanyan. 2016-08-19. On the norming constants of the Sturm-Liouville problem. https://arxiv.org/abs/1608.05576

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