Construction of a factorization of a certain class of matrix functions in the Wiener algebra of order two
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2023), pp. 41-51
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In this paper a representative class of matrix functions from the Wiener algebra of order 2 is found, which admits effective factorization. The factorization problem for elements of this class reduces to a truncated Wiener–Hopf equation with a contracting integral operator. The latter guarantees, as will be shown in the paper, the existence of canonical factorization and its construction for matrix functions from the class under consideration.
Keywords:
factorization problem,partial indices, Wiener algebra, Riemann boundary value problem, truncated equation Wiener–Hopf.
@article{IVM_2023_3_a3,
author = {A. F. Voronin},
title = {Construction of a factorization of a certain class of matrix functions in the {Wiener} algebra of order two},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {41--51},
publisher = {mathdoc},
number = {3},
year = {2023},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2023_3_a3/}
}
TY - JOUR AU - A. F. Voronin TI - Construction of a factorization of a certain class of matrix functions in the Wiener algebra of order two JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2023 SP - 41 EP - 51 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2023_3_a3/ LA - ru ID - IVM_2023_3_a3 ER -
A. F. Voronin. Construction of a factorization of a certain class of matrix functions in the Wiener algebra of order two. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2023), pp. 41-51. http://geodesic.mathdoc.fr/item/IVM_2023_3_a3/