Geodesic
On unconditional exponential bases in weighted spaces on real axis
Ufa mathematical journal, Tome 7 (2015) no. 3, pp. 108-118

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

We prove that if there exists an unconditional exponential basis in integral weighted functional space on interval $(-1,1)$ and the entire generating function satisfies some condition, then space $L_2(h)$ as a normed space is isomorphic to classical space $L_2$.
Keywords: Hilbert spaces, entire functions, unconditional exponential bases, Riesz bases. 
@article{UFA_2015_7_3_a11,
     author = {A. A. Yunusov},
     title = {On unconditional exponential bases in weighted spaces on real axis},
     journal = {Ufa mathematical journal},
     pages = {108--118},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UFA_2015_7_3_a11/}
}
TY  - JOUR
AU  - A. A. Yunusov
TI  - On unconditional exponential bases in weighted spaces on real axis
JO  - Ufa mathematical journal
PY  - 2015
SP  - 108
EP  - 118
VL  - 7
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UFA_2015_7_3_a11/
LA  - en
ID  - UFA_2015_7_3_a11
ER  - 
%0 Journal Article
%A A. A. Yunusov
%T On unconditional exponential bases in weighted spaces on real axis
%J Ufa mathematical journal
%D 2015
%P 108-118
%V 7
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UFA_2015_7_3_a11/
%G en
%F UFA_2015_7_3_a11
A. A. Yunusov. On unconditional exponential bases in weighted spaces on real axis. Ufa mathematical journal, Tome 7 (2015) no. 3, pp. 108-118. http://geodesic.mathdoc.fr/item/UFA_2015_7_3_a11/