Necessary and Sufficient Conditions Relating the Coefficients in the Recurrence Formula to the Spectral Function for Orthogonal Polynomials
Authors:
- Jeffrey S. GeronimoJGJeffrey S. Geronimo
- Paul G. NevaiPNPaul G. Nevai
- 1 May 1983
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 14 (3) , 622-637
Abstract
The problem considered here is, given the coefficients in the recurrence formula for polynomials orthogonal on a segment of the real line, what can be said about the spectral function with respect to which they are orthogonal? The coefficients are assumed to converge at a particular rate and the consequences for the spectral function are found that are necessary and sufficient.Keywords
This publication has 4 references indexed in Scilit:
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