Item request has been placed! ×
Item request cannot be made. ×
loading  Processing Request

Sobolev Orthogonal Polynomials on the Unit Circle and Coherent Pairs of Measures of the Second Kind

Item request has been placed! ×
Item request cannot be made. ×
loading   Processing Request
اقرأ أكثر حفظ في قائمتي
  • معلومة اضافية
    • Contributors:
      Universidade Estadual Paulista (UNESP)
    • الموضوع:
      2017
    • Collection:
      Universidade Estadual Paulista São Paulo: Repositório Institucional UNESP
    • نبذة مختصرة :
      Ministerio de Economía y Competitividad ; Ministerio de Economía y Competitividad: MTM2012-C03-01 ; We refer to a pair of non trivial probability measures (μ0, μ1) supported on the unit circle as a coherent pair of measures of the second kind on the unit circle if the corresponding sequences of monic orthogonal polynomials {Φn(μ0;z)}n≥0 and {Φn(μ1;z)}n≥0 satisfy 1nΦn′(μ0;z)=Φn-1(μ1;z)-χnΦn-2(μ1;z), n≥ 2. It turns out that there are more interesting examples of pairs of measures on the unit circle with this latter coherency property than in the case of the standard coherence. The main objective in this contribution is to determine such pairs of measures. The polynomials orthogonal with respect to the Sobolev inner products associated with coherent pairs of measures of the second kind are also studied.
    • File Description:
      1127-1149
    • ISSN:
      1420-9012
      1422-6383
    • Relation:
      Results in Mathematics; 0,582; http://dx.doi.org/10.1007/s00025-016-0631-y; Results in Mathematics, v. 71, n. 3-4, p. 1127-1149, 2017.; http://hdl.handle.net/11449/173948; 2-s2.0-85006456801; 2-s2.0-85006456801.pdf
    • الرقم المعرف:
      10.1007/s00025-016-0631-y
    • الدخول الالكتروني :
      http://hdl.handle.net/11449/173948
      https://doi.org/10.1007/s00025-016-0631-y
    • Rights:
      openAccess
    • الرقم المعرف:
      edsbas.CE01512