The Direct and Inverse Spectral Problems for some Banded Matrices

Zagorodnyuk, S. M.. "The Direct and Inverse Spectral Problems for some Banded Matrices." Serdica Mathematical Journal 37.1 (2011): 9-24. <http://eudml.org/doc/281576>.

@article{Zagorodnyuk2011,
abstract = {2000 Mathematics Subject Classification: 15A29.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.},
author = {Zagorodnyuk, S. M.},
journal = {Serdica Mathematical Journal},
keywords = {Banded Matrix; Spectral Function; Polynomials; banded matrix; spectral function; polynomials; direct spectral problem; inverse spectral problem},
language = {eng},
number = {1},
pages = {9-24},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {The Direct and Inverse Spectral Problems for some Banded Matrices},
url = {http://eudml.org/doc/281576},
volume = {37},
year = {2011},
}

TY - JOUR
AU - Zagorodnyuk, S. M.
TI - The Direct and Inverse Spectral Problems for some Banded Matrices
JO - Serdica Mathematical Journal
PY - 2011
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 37
IS - 1
SP - 9
EP - 24
AB - 2000 Mathematics Subject Classification: 15A29.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.
LA - eng
KW - Banded Matrix; Spectral Function; Polynomials; banded matrix; spectral function; polynomials; direct spectral problem; inverse spectral problem
UR - http://eudml.org/doc/281576
ER -