Szego transformations and Nth order associated polynomials on the unit circle
نویسندگان
چکیده
In this paperwe analyze the Stieltjes functions defined by the Szegő inverse transformation of a nontrivial probabilitymeasure supported on the unit circle such that the corresponding sequence of orthogonal polynomials is defined by either backward or forward shifts in their Verblunsky parameters. Such polynomials are called anti-associated (respectively associated) orthogonal polynomials. Thus, rational spectral transformations appear in a natural way. © 2009 Elsevier Ltd. All rights reserved.
منابع مشابه
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ورودعنوان ژورنال:
- Computers & Mathematics with Applications
دوره 57 شماره
صفحات -
تاریخ انتشار 2009