Orthogonality Measures for Orthogonal Matrix Polynomials with Periodic Coefficients of Recurrence Relations
Matematičeskie zametki, Tome 85 (2009) no. 6, pp. 944-946

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

Mots-clés : orthogonal matrix polynomial, Hilbert transformation
Keywords: matrix measure, Borel set, Chebyshev polynomial, Hermitian matrix, matrix continued fraction.
R. R. Vasyukov. Orthogonality Measures for Orthogonal Matrix Polynomials with Periodic Coefficients of Recurrence Relations. Matematičeskie zametki, Tome 85 (2009) no. 6, pp. 944-946. http://geodesic.mathdoc.fr/item/MZM_2009_85_6_a12/
@article{MZM_2009_85_6_a12,
     author = {R. R. Vasyukov},
     title = {Orthogonality {Measures} for {Orthogonal} {Matrix} {Polynomials} with {Periodic} {Coefficients} of {Recurrence} {Relations}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {944--946},
     year = {2009},
     volume = {85},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2009_85_6_a12/}
}
TY  - JOUR
AU  - R. R. Vasyukov
TI  - Orthogonality Measures for Orthogonal Matrix Polynomials with Periodic Coefficients of Recurrence Relations
JO  - Matematičeskie zametki
PY  - 2009
SP  - 944
EP  - 946
VL  - 85
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/MZM_2009_85_6_a12/
LA  - ru
ID  - MZM_2009_85_6_a12
ER  - 
%0 Journal Article
%A R. R. Vasyukov
%T Orthogonality Measures for Orthogonal Matrix Polynomials with Periodic Coefficients of Recurrence Relations
%J Matematičeskie zametki
%D 2009
%P 944-946
%V 85
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_2009_85_6_a12/
%G ru
%F MZM_2009_85_6_a12

[1] A. J. Duran, J. Approx. Theory, 100:2 (1999), 304–344 | DOI | MR | Zbl

[2] A. J. Duran, Canad. J. Math., 48:6 (1996), 1180–1195 | MR | Zbl

[3] M. J. Zygmunt, Linear Algebra Appl., 340:1–3 (2002), 155–168 | DOI | MR | Zbl

[4] Ya. L. Geronimus, Zapiski nauchno-issledovatelskogo in-ta matem., mekh. i Kharkovsk. matem. ob-va, 15:2 (1938), 57–64 | Zbl

[5] F. R. Gantmakher, Teoriya matrits, Nauka, M., 1988 | MR | Zbl