Geodesic
Riesz bases of eigenfunctions of integral operators with kernels discontinuous on the diagonals
Izvestiya. Mathematics , Tome 76 (2012) no. 6, pp. 1175-1189

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

We prove the Riesz basis property in $L_2[0,1]$ for the family of eigenfunctions and adjoint functions of an integral operator whose kernel is discontinuous on the diagonals $t=x$ and $t=1-x$.
Keywords: Riesz basis, resolvent, characteristic number, eigenfunction, involution. 
@article{IM2_2012_76_6_a6,
     author = {V. P. Kurdyumov and A. P. Khromov},
     title = {Riesz bases of eigenfunctions of integral operators with kernels discontinuous on the diagonals},
     journal = {Izvestiya. Mathematics },
     pages = {1175--1189},
     publisher = {mathdoc},
     volume = {76},
     number = {6},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2012_76_6_a6/}
}
TY  - JOUR
AU  - V. P. Kurdyumov
AU  - A. P. Khromov
TI  - Riesz bases of eigenfunctions of integral operators with kernels discontinuous on the diagonals
JO  - Izvestiya. Mathematics 
PY  - 2012
SP  - 1175
EP  - 1189
VL  - 76
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_2012_76_6_a6/
LA  - en
ID  - IM2_2012_76_6_a6
ER  - 
%0 Journal Article
%A V. P. Kurdyumov
%A A. P. Khromov
%T Riesz bases of eigenfunctions of integral operators with kernels discontinuous on the diagonals
%J Izvestiya. Mathematics 
%D 2012
%P 1175-1189
%V 76
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_2012_76_6_a6/
%G en
%F IM2_2012_76_6_a6
V. P. Kurdyumov; A. P. Khromov. Riesz bases of eigenfunctions of integral operators with kernels discontinuous on the diagonals. Izvestiya. Mathematics , Tome 76 (2012) no. 6, pp. 1175-1189. http://geodesic.mathdoc.fr/item/IM2_2012_76_6_a6/