Spectral transformations of measures supported on the unit circle and the Szegö transformation [PDF]
, 2008 17 pages, no figures.-- MSC2000 codes: 42C05, 15A23.MR#: MR2457097 (2009k:42046)Zbl#: Zbl 1169.42009In this paper we analyze spectral transformations of measures supported on the unit circle with real moments. The connection with spectral transformations
Hernández, Javier +3 more
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Recent trends on analytic properties of matrix orthonormal polynomials
, 2008 . In this paper we give an overview of recent results on analytic properties of matrix orthonormal polynomials. We focus our attention on the distribution of their zeros as well as on the asymptotic behavior of such polynomials under some restrictions ...
F. Marcellán, H. O. Yakhlef
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On the basic set of solutions of a high-order linear difference equation [PDF]
, 2006 16 pages, no figures.-- MSC2000 codes: 42C05.MR#: MR2205410 (2007m:39002)Zbl#: Zbl 1100.42022In this paper, we analyze the set of solutions of a linear difference equation of high-order. More precisely, we obtain a basis of such a linear subspace.
Marcellán, Francisco +4 more
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Multiple Orthogonal Polynomials on the Semicircle and Corresponding Quadratures of Gaussian Type
, 2004 In this paper multiple orthogonal polynomials defined using orthogonality conditions spread out over r different measures are considered. We study multiple orthogonal polynomials on the real line, as well as on the semicircle (complex polynomials ...
Gradimir V Milovanović, Marija Stanić
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Polynomial perturbations of bilinear functionals and Hessenberg matrices [PDF]
, 2006 20 pages, no figures.-- MSC2000 codes: 42C05; 15A23.MR#: MR2209234 (2008c:42024)Zbl#: Zbl 1134.42015This paper deals with symmetric and non-symmetric polynomial perturbations of symmetric quasi-definite bilinear functionals.
Bueno, M. Isabel +3 more
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Verblunsky parameters and linear spectral transformations [PDF]
, 2009 18 pages, no figures.-- MSC2000 codes: 42C05.In this paper we analyze the behavior of Verblunsky parameters for hermitian linear functionals deduced from canonical linear spectral transformations of a quasi-definite hermitian linear functional.
Marcellán, Francisco +2 more
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An electrostatic interpretation of zeros of Hermite-type orthogonal polynomials [PDF]
, 2003 14 pages, no figures.-- MSC2000 codes: Primary 42C05, secondary 33C45.MR#: MR2018950 (2004j:42021)Interpretation electrostatic of the distribution of the zeros of the Hermite-type orthogonal polynomials which are orthogonal with respect to a perturbation
Marcellán, Francisco +2 more
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Lp extremal polynomials. Results and perspectives [PDF]
, 2006 2000 Mathematics Subject Classification: 30C40, 30D50, 30E10, 30E15, 42C05.Let α = β+γ be a positive finite measure defined on the Borel sets of C, with compact support, where β is a measure concentrated on a closed Jordan curve or on an arc (a circle or
Laskri, Yamina, Benzine, Rachid
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Special Classes of Orthogonal Polynomials and Corresponding Quadratures of Gaussian Type [PDF]
, 2012 MSC 2010: 33C47, 42C05, 41A55, 65D30, 65D32In the first part of this survey paper we present a short account on some important properties of orthogonal polynomials on the real line, including computational methods for constructing coefficients in the ...
Milovanovic, Gradimir V. +1 more
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A study of the generalized Christoffel functions with applications [PDF]
, 1999 10 pages, no figures.-- MSC2000 code: 42C05.MR#: MR1803313 (2001m:42044)Zbl#: Zbl 0965.42015In this paper we solve the problem of minimizing the norm of polynomials of degree less than or equal to n, verifying linear restrictions. This case extends in a
Cachafeiro, Alicia +2 more
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