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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1989 Volume 53, Issue 2, Pages 276–308 (Mi im1241)

This article is cited in 35 papers

Factorization of almost periodic matrix-valued functions and the Noether theory for certain classes of equations of convolution type

Yu. I. Karlovich, I. M. Spitkovsky


Abstract: The authors study $n$- and $d$-normality and compute the index of systems of singular integral equations with a semi-almost periodic matrix-valued coefficient $G$, as well as the index of operators of convolution type on the half-line and a finite interval converging to it. At the base of the investigation lies factorization with almost periodic factors of matrix-valued functions describing the asymptotics of $G$ at $\pm\infty$.
Bibliography: 38 titles.

UDC: 517.518.6+517.968.25

MSC: Primary 45E10; Secondary 35Q15, 30E25, 47A53, 42A75, 47A68

Received: 04.06.1985
Revised: 03.08.1987


 English version:
Mathematics of the USSR-Izvestiya, 1990, 34:2, 281–316

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