Geodesic
Stark--Wannier ladders and cubic exponential sums
Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 3, pp. 81-85

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

Given a one-dimensional Stark–Wannier operator, we study the reflection coefficient and its poles in the lower half of the complex plane far from the real axis. In particular, the reflection coefficient is described asymptotically in terms of regularized infinite cubic exponential sums.
Keywords: Stark–Wannier ladders, cubic exponential sums. 
@article{FAA_2016_50_3_a7,
     author = {F. Klopp and A. A. Fedotov},
     title = {Stark--Wannier ladders and cubic exponential sums},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {81--85},
     publisher = {mathdoc},
     volume = {50},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2016_50_3_a7/}
}
TY  - JOUR
AU  - F. Klopp
AU  - A. A. Fedotov
TI  - Stark--Wannier ladders and cubic exponential sums
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2016
SP  - 81
EP  - 85
VL  - 50
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2016_50_3_a7/
LA  - ru
ID  - FAA_2016_50_3_a7
ER  - 
%0 Journal Article
%A F. Klopp
%A A. A. Fedotov
%T Stark--Wannier ladders and cubic exponential sums
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2016
%P 81-85
%V 50
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2016_50_3_a7/
%G ru
%F FAA_2016_50_3_a7
F. Klopp; A. A. Fedotov. Stark--Wannier ladders and cubic exponential sums. Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 3, pp. 81-85. http://geodesic.mathdoc.fr/item/FAA_2016_50_3_a7/