Generalized inversion of finite rank Hankel and Toeplitz operators with rational matrix symbols
Formulas are obtained for the generalized inversion of finite rank Hankel operators and Hankel or Toeplitz operators with block matrices having finitely many rows. To this aim a left coprime fractional factorization \(a(t)=L^{-1}(t)N(t)\) and the Bézout equation \(L(t)U(t)+ N(t) V(t)= I_p\) are used \((L(t)\) is a nonsingular \(p\times p\) matrix polynomial, \(U(t)\) and \(V(t)\) are matrix polynomials in \(t)\).
scientific article; zbMATH DE number 1331370