Geodesic
The system of weighted exponentials with power weights
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2011), pp. 15-25

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

The system of weighted exponentials $\left(\mid x\mid ^{\alpha }\exp^{i\lambda _{n}x}\right)_{n\in \mathbb{Z}}$ with power weights is considered in this paper, where $\lambda_{n}\in \mathbb{R}$. We find conditions on power indicator $\alpha$ which provide such properties of the system as to be a frame, Bessel system, Schauder basis in the space $L^{2}[-\pi ,\pi ]$.
Keywords: Bessel sequence, frame, system of weighted exponentials, complete systems. 
@article{VSGU_2011_2_a1,
     author = {E. S. Golubeva},
     title = {The system of weighted exponentials with power weights},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {15--25},
     publisher = {mathdoc},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2011_2_a1/}
}
TY  - JOUR
AU  - E. S. Golubeva
TI  - The system of weighted exponentials with power weights
JO  - Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
PY  - 2011
SP  - 15
EP  - 25
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGU_2011_2_a1/
LA  - ru
ID  - VSGU_2011_2_a1
ER  - 
%0 Journal Article
%A E. S. Golubeva
%T The system of weighted exponentials with power weights
%J Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
%D 2011
%P 15-25
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGU_2011_2_a1/
%G ru
%F VSGU_2011_2_a1
E. S. Golubeva. The system of weighted exponentials with power weights. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2011), pp. 15-25. http://geodesic.mathdoc.fr/item/VSGU_2011_2_a1/