On the norming constants of the Sturm-Liouville problem
Spectral Theory
2019-02-19 v2 Classical Analysis and ODEs
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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Cite
@article{arxiv.1608.05576,
title = {On the norming constants of the Sturm-Liouville problem},
author = {Tigran Harutyunyan and Avetik Pahlevanyan},
journal= {arXiv preprint arXiv:1608.05576},
year = {2019}
}
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12 pages