Geodesic
Explicit factorization of a $(P,Q)$-circulant matrix-functions
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2011), pp. 23-30.

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

The paper considers a factorization problem of a matrix-function, obtained from a circulant by a right and left multiplication by diagonal rational matrix-functions. Formulas for partial indices are obtained by means of ranks of a finite number of explicit type matrices. A factorization construction of this matrix-function based on factorization of finite number of functions is given as well.
Keywords: matrix-function, factorization
Mots-clés : partial indices. 
@article{UZERU_2011_3_a3,
     author = {G. M. Topikyan},
     title = {Explicit factorization of a $(P,Q)$-circulant matrix-functions},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {23--30},
     publisher = {mathdoc},
     number = {3},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UZERU_2011_3_a3/}
}
TY  - JOUR
AU  - G. M. Topikyan
TI  - Explicit factorization of a $(P,Q)$-circulant matrix-functions
JO  - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY  - 2011
SP  - 23
EP  - 30
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZERU_2011_3_a3/
LA  - en
ID  - UZERU_2011_3_a3
ER  - 
%0 Journal Article
%A G. M. Topikyan
%T Explicit factorization of a $(P,Q)$-circulant matrix-functions
%J Proceedings of the Yerevan State University. Physical and mathematical sciences
%D 2011
%P 23-30
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZERU_2011_3_a3/
%G en
%F UZERU_2011_3_a3
G. M. Topikyan. Explicit factorization of a $(P,Q)$-circulant matrix-functions. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2011), pp. 23-30. http://geodesic.mathdoc.fr/item/UZERU_2011_3_a3/

[1] E.M. Dinkin, B.P. Osilenker, “Weighted Estimates of Singular Integrals and Their Applications”, Matematicheskii Analiz (Itogi Nauki i Tekhniki), VINITI, M., 1983, 42–129 (in Russian) | MR

[2] A.G. Kamalyan, “Some Properties of Kernels of Toeplitz Operators”, Dokladi NAN Armenii, 107:4 (2007), 316–322 (in Russian) | MR

[3] A.G. Kamalyan, “Indice Factorization of Matrix Functions”, Dokladi NAN Armenii, 108:1 (2008), 5–11 (in Russian) | MR

[4] G.S. Litvinchuk, I.M. Spitkovskii, Factorization of Matrix-Functions, Akademie Verlag, Berlin, 1987

[5] A.G. Kamalyan, A.V. Sargsyan, “Partial indices of a class of second order matrix-functions”, Journal of Contemporary Mathematical Analysis, 42:3 (2007), 139–145 | DOI | MR | Zbl

[6] A.V. Sargsyan, “On factorization of a class of second order matrix-functions”, Proceedings of the YSU. Phys. and Mathem. Sciences, 2010, no. 1, 9–15 | Zbl

[7] A.G. Kamalyan, “Explicit generalized factorization of bounded holomorphic matrix functions”, Journal of Contemporary Mathematical Analysis, 32:2 (1997), 19–38 | MR | Zbl