Generalized inversion of finite rank Hankel and Toeplitz operators with rational matrix symbols
Authors:
Victor M. Adukov
Affiliation:
Department of Mathematical Analysis, South- Ural State University, Lenin avenue 76, 454080 Chelvahinsk, Russian Federation
Abstract:
The goal of the paper is a generalized inversion of finite rank Hankel operators and Hankel or Toeplitz operators with block matrices having finitely many rows. To attain it a left coprime fractional factorization of a strictly proper rational matrix function and the Bezout equation are used. Generalized inverses of these operators and generating functions for the inverses are explicitly constructed in terms of the fractional factorization.