Coherent pairs of linear functionals on the unit circle

• Author(s): Branquinho, Amílcar ; Foulquie Moreno, Ana Pilar ; Marcellán, Francisco ; Rebocho, Maria das Neves
• Date: 2008
• Persistent ID: http://hdl.handle.net/10773/8429
• Origin: RIA - Repositório Institucional da Universidade de Aveiro
• Subject(s): Orthogonal polynomials; Differential equations; Three-term recurrence relations; Measures on the unit circle; Hermitian functionals
• Document Type: Article
• Language: English

Description

In this paper we extend the concept of coherent pairs of measures from the real line to Jordan arcs and curves. We present a characterization of pairs of coherent measures on the unit circle. Some examples are given.