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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{FAA_2017_51_3_a5,
     author = {E. L. Korotyaev and A. Laptev},
     title = {Trace formulas for a discrete {Schr\"odinger} operator},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {81--86},
     publisher = {mathdoc},
     volume = {51},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2017_51_3_a5/}
}
TY  - JOUR
AU  - E. L. Korotyaev
AU  - A. Laptev
TI  - Trace formulas for a discrete Schr\"odinger operator
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2017
SP  - 81
EP  - 86
VL  - 51
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2017_51_3_a5/
LA  - ru
ID  - FAA_2017_51_3_a5
ER  - 
%0 Journal Article
%A E. L. Korotyaev
%A A. Laptev
%T Trace formulas for a discrete Schr\"odinger operator
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2017
%P 81-86
%V 51
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2017_51_3_a5/
%G ru
%F FAA_2017_51_3_a5
E. L. Korotyaev; A. Laptev. Trace formulas for a discrete Schr\"odinger operator. Funkcionalʹnyj analiz i ego priloženiâ, Tome 51 (2017) no. 3, pp. 81-86. http://geodesic.mathdoc.fr/item/FAA_2017_51_3_a5/