Geodesic
A~Levinson-Sj\"oberg type theorem. Applications
Sbornik. Mathematics, Tome 199 (2008) no. 7, pp. 985-1007

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

A generalization of the well-known Levinson-Sjöberg theorem is obtained for a family of analytic functions $f$ that have estimates of the form $|f(z)|\le M(\operatorname{dist}(z,\gamma))$ outside an arc $\gamma$, where $M$ is a decreasing function on $(0,\infty)$ that is unbounded in a neighbourhood of the origin. Applications to questions of quasianalyticity for Carleman classes are indicated as well as to the completeness of a system of exponentials on arcs, to analytic continuation and to representation by Dirichlet series. Bibliography: 24 titles. 
@article{SM_2008_199_7_a2,
     author = {A. M. Gaisin and I. G. Kinzyabulatov},
     title = {A~Levinson-Sj\"oberg type theorem. {Applications}},
     journal = {Sbornik. Mathematics},
     pages = {985--1007},
     publisher = {mathdoc},
     volume = {199},
     number = {7},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2008_199_7_a2/}
}
TY  - JOUR
AU  - A. M. Gaisin
AU  - I. G. Kinzyabulatov
TI  - A~Levinson-Sj\"oberg type theorem. Applications
JO  - Sbornik. Mathematics
PY  - 2008
SP  - 985
EP  - 1007
VL  - 199
IS  - 7
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_2008_199_7_a2/
LA  - en
ID  - SM_2008_199_7_a2
ER  - 
%0 Journal Article
%A A. M. Gaisin
%A I. G. Kinzyabulatov
%T A~Levinson-Sj\"oberg type theorem. Applications
%J Sbornik. Mathematics
%D 2008
%P 985-1007
%V 199
%N 7
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_2008_199_7_a2/
%G en
%F SM_2008_199_7_a2
A. M. Gaisin; I. G. Kinzyabulatov. A~Levinson-Sj\"oberg type theorem. Applications. Sbornik. Mathematics, Tome 199 (2008) no. 7, pp. 985-1007. http://geodesic.mathdoc.fr/item/SM_2008_199_7_a2/