×

Factorization of almost periodic matrix-functions and the Noether theory of some classes of equations of convolution type. (Russian) Zbl 0681.45003

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

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
PDFBibTeX XMLCite