# The Direct and Inverse Spectral Problems for some Banded Matrices

Serdica Mathematical Journal (2011)

- Volume: 37, Issue: 1, page 9-24
- ISSN: 1310-6600

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topZagorodnyuk, 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 -

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