Some inverse problems for \(d\)-orthogonal polynomials
The authors study the generalized inverse problem of the left product of a \(d\)-dimensional vector form by a polynomial. They find regularity conditions of the vector linear form \(\mathcal{V}\) defined by \(\mathcal{U}=R\,\mathcal{V}\), where \(R\) is a \(d\times d\) matrix polynomial. A related inverse problem is also considered. As an immediate consequence the authors find the explicit relation between \(\mathcal{U}\) and \(\mathcal{V}\).
scientific article; zbMATH DE number 6164337
scientific article