Geodesic
On the method of factorization of matrix-functions in the Wiener algebra of order 2
Sibirskij žurnal industrialʹnoj matematiki, Tome 25 (2022) no. 2, pp. 32-45

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A method is found for reducing the problem of factorization of an arbitrary matrix-function with a negative total index from a (everywhere dense subalgebra) Wiener algebra of order 2 to the truncated Wiener—Hopf equation. With the help of the obtained method, an effective factorization of one class of matrix functions from the Wiener algebra of order 2 is constructed.
Keywords: Wiener algebra, factorization problem, truncated Wiener—Hopf equation. .
Mots-clés : partial indices 
@article{SJIM_2022_25_2_a2,
     author = {A. F. Voronin},
     title = {On the method of factorization of matrix-functions in the {Wiener} algebra of order 2},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {32--45},
     publisher = {mathdoc},
     volume = {25},
     number = {2},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2022_25_2_a2/}
}
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A. F. Voronin. On the method of factorization of matrix-functions in the Wiener algebra of order 2. Sibirskij žurnal industrialʹnoj matematiki, Tome 25 (2022) no. 2, pp. 32-45. http://geodesic.mathdoc.fr/item/SJIM_2022_25_2_a2/