Article PDF
Avoid common mistakes on your manuscript.
Literature cited
B. Ya. Levin (B. Ja. Levin), Distribution of Zeros of Entire Functions, Am. Math. Soc., Providence (1964).
Yu. I. Karlovich and I. M. Spitkovskii, “On the Noethericity of certain singular integral operators with matrix coefficients of class SAP and systems of convolution equations on a finite interval associated with them,” Dokl. Akad. Nauk SSSR,269, No. 3, 531–535 (1983).
Yu. I. Karlovich and I. M. Spitkovskii, The factorization of almost-periodic matrix-valued functions and the (semi-) Fredholm property of certain classes of equations of convolution type. Manuscript deposited at VINITI (June 21, 1985), No. 4421-85, Odessa (1985).
I. M. Spitkovskii, “The factorization of certain classes of semi-almost-periodic matrix-valued functions and its applications to systems of equations of convolution type,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 4, 88–94 (1983).
Yu. I. Karlovich and I. M. Spitkovskii, “On the theory of systems of equations of convolution type with semi-almost-periodic symbols in spaces of Bessel potentials,” Dokl. Akad. Nauk SSSR,286, No. 4, 799–803 (1986).
I. Ts. Gokhberg (I. E. Gohberg) and I. A. Fel'dman, Convolution Equations and Projection Methods for Their Solution, Am. Math. Soc., Providence (1974).
G. S. Litvinchuk and I. M. Spitkovskii, The factorization of matrix-valued functions. Manuscript deposited at VINITI (April 17, 1984), No. 2410-84, Odessa (1984).
Yu. I. Karlovich and I. M. Spitkovskii, “Factorization problem for almost periodic matrix-valued functions and Fredholm theory of Toeplitz operators with semi-almost-periodic matrix symbols,” in: Linear and Complex Analysis Problem Book, Lecture Notes in Math., No. 1043, Springer, Berlin (1984), pp. 279–282.
N. Ya. Krupnik and I. A. Fel'dman, “On the relation between factorization and inversion of finite Toeplitz matrices,” Izv. Akad. Nauk Moldav. SSR, Ser. Fiz.-Tekh. Mat. Nauk, No. 3, 20–26 (1985).
R. G. Babadzhanyan and V. S. Rabinovich, Systems of integral-difference equations on the semiaxis. Manuscript deposited at ArmNIINTI (Dec. 26, 1984), No. 26 Ar-84, Leninakan (1984).
R. G. Babadzhanyan and V. S. Rabinovich, “Systems of integral-difference equations on the half line,” Dokl. Akad. Nauk ArmSSR,81, No. 3, 107–111 (1985).
I. M. Spitkovskii, “On the partial indices of continuous matrix-valued functions,” Dokl. Akad. Nauk SSSR,229, No. 5, 1059–1062 (1976).
A. I. Saginashvili, “Singular integral equations with coefficients that have discontinuities of semi-almost-periodic type,” Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. SSR,66, 84–95 (1980).
Yu. L. Shmul'yan, “The Riemann problem with a Hermitian matrix,” Usp. Mat. Nauk,9, No. 4, 243–248 (1954).
A. M. Nikolaichuk and I. M. Spitkovskii, “On the Riemann. boundary value problem with Hermitian matrix,” Dokl. Akad. Nauk SSSR,221, No. 6, 1280–1283 (1975).
A. M. Nikolaichuk and I. M. Spitkovskii, “Factorization of Hermitian matrix-valued functions, and its applications to boundary-value problems,” Ukr. Mat. Zh.,27, No. 6, 767–779 (1975).
M. Rabindranathan, “On the inversion of Toeplitz operators,” J. Math. Mech.,19, No. 3, 195–206 (1969).
I. M. Spitlovskii, “On the question of the factorizability of measurable matrix-valued functions,” Dokl. Akad. Nauk SSSR,240, No. 3, 541–544 (1978).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 45, No. 6, pp. 74–82, June, 1989.
Rights and permissions
About this article
Cite this article
Spitkovskii, I.M. Factorization of almost-periodic matrix-valued functions. Mathematical Notes of the Academy of Sciences of the USSR 45, 482–488 (1989). https://doi.org/10.1007/BF01158238
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01158238