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arXiv · 1810.00733

$L_p$-spectrum and Lieb-Thirring inequalities for Schr\"odinger operators on the hyperbolic plane

Marcel Hansmann
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Abstract

This paper deals with the $L_p$-spectrum of Schr\"odinger operators on the hyperbolic plane. We establish Lieb-Thirring type inequalities for discrete eigenvalues and study their dependence on $p$. Some bounds on individual eigenvalues are derived as well.

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Marcel Hansmann. 2018-10-01. $L_p$-spectrum and Lieb-Thirring inequalities for Schr\"odinger operators on the hyperbolic plane. https://doi.org/10.1007/s00023-019-00804-4

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