What is a vector Hankel determinant

✍ Scribed by A. Salam

• Book ID: 104156274
• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 732 KB
• Volume: 278
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/s0024-3795(97)10091-x

✦ Synopsis

In this paper, a Hankel determinant whose entries belong to a real finite dimensional vector space is defined. Such a Hankel determinant appears, purely as a computational process result (lacking of any property), in the algebraic approach to the vector c-algorithm and in the theory of vector orthogonal polynomials.

The aim of this paper is to give an independent study of these determinants, involving their fundamental algebraic properties.