Orthogonal polynomials on the unit circle with Fibonacci Verblunsky coefficients, I. The essential support of the measure

Autores: David Damanik, Paul Munger, William N. Yessen
Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 173, Nº 1, 2013, págs. 56-88
Idioma: inglés
DOI: 10.1016/j.jat.2013.04.001
Enlaces
- Texto completo
Resumen
- We study probability measures on the unit circle corresponding to orthogonal polynomials whose sequence of Verblunsky coefficients is invariant under the Fibonacci substitution. We focus in particular on the fractal properties of the essential support of these measures.