Karlovich, Yu. I.; Spitkovskij, I. M. Factorization of almost periodic matrix-functions and the Noether theory of some classes of equations of convolution type. (Russian) Zbl 0681.45003 Izv. Akad. Nauk SSSR, Ser. Mat. 53, No. 2, 276-308 (1989). From the introduction: Singular integral operators of the form \(T_ G=P_++GP_-,\) where G is a given matrix-function on \({\mathbb{R}}\) and the projectors \(P_{\pm}=(I\pm S)\) are generated by the Cauchy operator \((S\phi)(x)=(\pi i)^{-1}\int \phi (\tau)(\tau -x)^{-1}d\tau,\) are studied. A Wiener-Hopf operator with presymbol G which is dual to \(T_ G\) is considered, too. Reviewer: Z.Binderman Cited in 2 ReviewsCited in 3 Documents MSC: 45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) 47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators 30E25 Boundary value problems in the complex plane Keywords:factorization; almost periodic matrix-functions; Noether theory; equations of convolution type; Singular integral operators; Cauchy operator; Wiener-Hopf operator PDFBibTeX XMLCite \textit{Yu. I. Karlovich} and \textit{I. M. Spitkovskij}, Izv. Akad. Nauk SSSR, Ser. Mat. 53, No. 2, 276--308 (1989; Zbl 0681.45003)