Geodesic
Functions Generating Normal Toeplitz Matrices
Matematičeskie zametki, Tome 89 (2011) no. 4, pp. 503-507 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

To any complex function there corresponds a Fourier series, which is often associated with a sequence $\{T_n\}$ of Toeplitz $n\times n$ matrices. Functions whose Fourier series generate sequences of normal Toeplitz matrices are classified, and a procedure for constructing Fourier series for which the sequence $\{T_n\}$ contains an infinite subsequence of normal matrices is described.
Keywords: complex Fourier series, Toeplitz matrix, Hermitian Toeplitz matrix
Mots-clés : normal matrix, circulant matrix. 
@article{MZM_2011_89_4_a2,
     author = {N. L. Zamarashkin and E. E. Tyrtyshnikov and V. N. Chugunov},
     title = {Functions {Generating} {Normal} {Toeplitz} {Matrices}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {503--507},
     year = {2011},
     volume = {89},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2011_89_4_a2/}
}
TY  - JOUR
AU  - N. L. Zamarashkin
AU  - E. E. Tyrtyshnikov
AU  - V. N. Chugunov
TI  - Functions Generating Normal Toeplitz Matrices
JO  - Matematičeskie zametki
PY  - 2011
SP  - 503
EP  - 507
VL  - 89
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/MZM_2011_89_4_a2/
LA  - ru
ID  - MZM_2011_89_4_a2
ER  - 
%0 Journal Article
%A N. L. Zamarashkin
%A E. E. Tyrtyshnikov
%A V. N. Chugunov
%T Functions Generating Normal Toeplitz Matrices
%J Matematičeskie zametki
%D 2011
%P 503-507
%V 89
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_2011_89_4_a2/
%G ru
%F MZM_2011_89_4_a2
N. L. Zamarashkin; E. E. Tyrtyshnikov; V. N. Chugunov. Functions Generating Normal Toeplitz Matrices. Matematičeskie zametki, Tome 89 (2011) no. 4, pp. 503-507. http://geodesic.mathdoc.fr/item/MZM_2011_89_4_a2/

[1] U. Grenander, G. Szegő, Toeplitz Forms and their Applications, California Monogr. in Math. Sci., Univ. of California Press, Berkeley, 1958 | MR | Zbl

[2] Kh. D. Ikramov, V. N. Chugunov, “Kriterii normalnosti kompleksnoi teplitsevoi matritsy”, Zh. vychisl. matem. i matem. fiz., 36:2 (1996), 3–10 | MR | Zbl

[3] A. Zigmund, Trigonometricheskie ryady, Mir, M., 1965 | MR | Zbl | Zbl