Geodesic
Trace formulas for a discrete Schrödinger operator
Funkcionalʹnyj analiz i ego priloženiâ, Tome 51 (2017) no. 3, pp. 81-86

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The Schrödinger operator with complex decaying potential on a lattice is considered. Trace formulas are derived on the basis of classical results of complex analysis. These formulas are applied to obtain global estimates of all zeros of the Fredholm determinant in terms of the potential.
Mots-clés : trace formula
Keywords: complex potential, eigenvalues. 
E. L. Korotyaev; A. Laptev. Trace formulas for a discrete Schrödinger operator. Funkcionalʹnyj analiz i ego priloženiâ, Tome 51 (2017) no. 3, pp. 81-86. http://geodesic.mathdoc.fr/item/FAA_2017_51_3_a5/
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