Remarks on orthogonal polynomials with respect to varying measures and related problems
We point out the relation between the orthogonal polynomials with respect to (w.r.t.) varying measures and the so-called orthogonal rationals on the unit circle in the complex plane. This observation enables us to combine different techniques in the study of these polynomials and rationals. As an ex...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171293000298 |
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| Summary: | We point out the relation between the orthogonal polynomials with respect to
(w.r.t.) varying measures and the so-called orthogonal rationals on the unit circle in the complex
plane. This observation enables us to combine different techniques in the study of these
polynomials and rationals. As an example, we present a simple and short proof for a known result
on the weak-star convergence of orthogonal polynomials w.r.t, varying measures. Some related
problems are also considered. |
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| ISSN: | 0161-1712 1687-0425 |