On time dependent orthogonal polynomials on the unit circle

Authors

  • A. Ben-Artzi
  • I. C. Gohberg

Abstract

Two index formulas for operators defined by infinite band matrices are proved. These results may be interpreted as a generalization of the classical theorem of M. G. Krein for orthogonal polynomials. The proofs are based on dichotomy and nonstationary inertia theory.

Published

25.02.1994

Issue

Section

Research articles

How to Cite

Ben-Artzi, A., and I. C. Gohberg. “On Time Dependent Orthogonal Polynomials on the Unit Circle”. Ukrains’kyi Matematychnyi Zhurnal, vol. 46, no. 1-2, Feb. 1994, pp. 18–36, https://umj.imath.kiev.ua/index.php/umj/article/view/5767.