Geodesic
The Direct and Inverse Spectral Problems for some Banded Matrices
Serdica Mathematical Journal, Tome 37 (2011) no. 1, pp. 9-24

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

In this paper we introduced a notion of the generalized spectral function for a matrix J = (gk,l)k,l = 0 Ґ, gk,l О C, such that gk,l = 0, if |k-l | > N; gk,k+N = 1, and gk,k-N № 0. Here N is a fixed positive integer. The direct and inverse spectral problems for such matrices are stated and solved. An integral representation for the generalized spectral function is obtained.
Keywords: Banded Matrix, Spectral Function, Polynomials 
@article{SMJ2_2011_37_1_a1,
     author = {Zagorodnyuk, S. M.},
     title = {The {Direct} and {Inverse} {Spectral} {Problems} for some {Banded} {Matrices}},
     journal = {Serdica Mathematical Journal},
     pages = {9--24},
     publisher = {mathdoc},
     volume = {37},
     number = {1},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_2011_37_1_a1/}
}
TY  - JOUR
AU  - Zagorodnyuk, S. M.
TI  - The Direct and Inverse Spectral Problems for some Banded Matrices
JO  - Serdica Mathematical Journal
PY  - 2011
SP  - 9
EP  - 24
VL  - 37
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SMJ2_2011_37_1_a1/
LA  - en
ID  - SMJ2_2011_37_1_a1
ER  - 
%0 Journal Article
%A Zagorodnyuk, S. M.
%T The Direct and Inverse Spectral Problems for some Banded Matrices
%J Serdica Mathematical Journal
%D 2011
%P 9-24
%V 37
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SMJ2_2011_37_1_a1/
%G en
%F SMJ2_2011_37_1_a1
Zagorodnyuk, S. M. The Direct and Inverse Spectral Problems for some Banded Matrices. Serdica Mathematical Journal, Tome 37 (2011) no. 1, pp. 9-24. http://geodesic.mathdoc.fr/item/SMJ2_2011_37_1_a1/