Abstract
Systems of convolution equations on a finite interval are reduced to the problem of canonical factorization of unimodular matrix-valued functions. The discrete version is considered separately.
Similar content being viewed by others
References
[FGK1] Feldman, I. Gohberg, I., Krupnik, N.,A method of explicit factorization of matrix functions and its applications, Integr. Eq. Oper. Theory18(1994), 277–302.
[FGK2] Feldman, I. Gohberg, I., Krupnik, N.,On explicit factorization and applications, Integr. Eq. Oper. Theory21 (1995), 430–459.
[GF] Gohberg, I., Feldman, I.,Convolution equations and projection methods for their solutions, Transl. Math. Monographs, vol. 41, Amer. Math. Soc, Providence, RI, 1974.
[GH1] Gohberg, I., Heinig G.,Inversion of finite Toeplitz matrices composed from elements of noncommutative algebra, Rev. Roum. Math. Pures Appl.19 (1974), 623–663.
[GH2] Gohberg, I., Heinig G.,On matrix integral operators on finite intervals with kernels depending on the difference of arguments, Rev. Roum. Math. Pures Appl.20 (1975), 55–73.
[KF] Krupnik, N., Feldman, I.,On the relation between factorizations and inversion of finite Toeplitz matrices, Izv. Akad. Nauk Mold. SSR, Fiz-Tekh Mat.3 (1985), 20–25.
Author information
Authors and Affiliations
Additional information
This research was partially supported by the Israel Science Foundation funded by the Israel Academy of Sciences and Humanities.
Rights and permissions
About this article
Cite this article
Feldman, I., Gohberg, I. & Krupnik, N. Convolution equations on finite intervals and factorization of matrix functions. Integr equ oper theory 36, 201–211 (2000). https://doi.org/10.1007/BF01202095
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01202095