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Explicit formulas for OPUC and POPUC associated with measures which are simple modifications of the Lebesgue measure

Author

Listed:
  • Bracciali, Cleonice F.
  • Silva, Jairo S.
  • Sri Ranga, A.

Abstract

We consider nontrivial probability measures, obtained as simple modifications of the Lebesgue measure, which include mass points at z=1 and z=i. The orthogonal polynomials, para-orthogonal polynomials and Toeplitz matrices associated with these measures are presented.

Suggested Citation

  • Bracciali, Cleonice F. & Silva, Jairo S. & Sri Ranga, A., 2015. "Explicit formulas for OPUC and POPUC associated with measures which are simple modifications of the Lebesgue measure," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 820-831.
    • Handle: RePEc:eee:apmaco:v:271:y:2015:i:c:p:820-831
    DOI: 10.1016/j.amc.2015.09.067
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