×

On factorization of some matrix-functions. (Russian) Zbl 0709.15012

For a contour L in the complex plane the authors solve the Hilbert problem: Find a piecewise holomorphic vector \(\Phi\) (z) with a non- essential singularity at infinity such that \(\Phi^+(t)=(zE-A)\Phi^{- 1}(t),\quad t\in L.\) The canonical Jordan form of A is exploited. One part of the eigenvalues has to lie inside L, the other part outside of it.
Reviewer: J.de Graaf

MSC:

15A23 Factorization of matrices
15A54 Matrices over function rings in one or more variables
30E20 Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane
PDFBibTeX XMLCite