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Sulle relazioni di ricorrenza a tre termini per polinomi ortonormali sul cerchio unitario

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Abstract

In this paper the pro m of the existence of a three term recurrence relation formula for orthonormal polynomials on the unit circle is studied.

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Bibliografia

  1. Chihara T.S.,Introduction to orthogonal polynomials, Math. and its Appl. Ser. —Gordon and Breach, New York, 1978.

    MATH  Google Scholar 

  2. Delsarte P., Genin Y.,On the role of orthogonal polynomials on the unit circle in digital signal processing applications, in “Orthogonal Polynomials: Theory and Practice”—P. Nevai Editor, Kluwer Acad. Pub., Dordrecht-Boston-London, 1990.

    Google Scholar 

  3. Geronimus Ya L.,Polynomials orthogonal on a circle and their applications, Trans. Amer. Math. Soc.104 (1954).

  4. Geronimus Ya L.,Orthogonal Polynomials, Consultants Bureau, New York, 1961.

    MATH  Google Scholar 

  5. Jones W.B., Njastad O., Thron W.J.,Moment theory, orthogonal polynomials, quadrature, and continued fractions associated with the unit circle, Bull. London Math. Soc.21 (1989).

  6. Ricci P.E.,Symmetric orthonormal systems on the unit circle, (in corso di stampa).

  7. Szegö G.,Orthogonal polynomials, Amer. Math. Soc. Coll. Pubbl. Vol. XXIII —Providence, R.I., 1939.

  8. Szegö G.,Beitrage zur Theorie der Toeplitzschen Formen. II Mathem. Zeit., Vol.9 (1921), 167–190.

    Article  Google Scholar 

  9. Szegö G.,Ein Beitrag zur Theorie der Thetafunktionen. Sitz. Preuss. Akad. Wiss., phys.-math. Kl. (1926), 242–252.

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Authors and Affiliations

  1. Dipartimento di Metodi e Modelli, Matematici per le Scienze Applicate, Via Scarpa, 10-00161, Roma

    C. Belingeri & P. E. Ricci

Authors
  1. C. Belingeri
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  2. P. E. Ricci
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Belingeri, C., Ricci, P.E. Sulle relazioni di ricorrenza a tre termini per polinomi ortonormali sul cerchio unitario. Rend. Circ. Mat. Palermo 41, 151–164 (1992). https://doi.org/10.1007/BF02844470

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  • DOI: https://doi.org/10.1007/BF02844470

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