On polynomials orthogonal with respect to Sobolev inner product on the unit circle

Xin Li and Francisco Marcellan

Vol. 175 (1996), No. 1, 127–146

DOI: 10.2140/pjm.1996.175.127

Abstract

We study polynomials orthogonal with respect to an indefinite Sobolev inner product on the unit circle. We establish the existence of such polynomials of large degree. Algebraic properties and asymptotic behavior of such polynomials are obtained.

Mathematical Subject Classification 2000

Primary: 42C05

Secondary: 33C45

Milestones

Received: 7 December 1993

Revised: 24 June 1994

Published: 1 September 1996