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Polynomials orthogonal with respect to singular continuous measures

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Orthogonal Polynomials and their Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1329))

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Abstract

Let T(z) be a monic polynomial of degree d≥2 chosen so that its Julia set J is real. A class of invariant measures and the orthogonal polynomials associated with these measures are constructed and discussed. In particular, the asymptotic properties of the polynomials and the recurrence formula coefficients is presented.

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Authors and Affiliations

  1. School of Mathematics, Georqia Institute of Technology, 30332, Atlanta, GA

    J. S. Geronimo

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  1. J. S. Geronimo
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Editor information

Manuel Alfaro JesĂºs S. Dehesa Francisco J. Marcellan JosĂ© L. Rubio de Francia Jaime Vinuesa

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© 1988 Springer-Verlag

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Geronimo, J.S. (1988). Polynomials orthogonal with respect to singular continuous measures. In: Alfaro, M., Dehesa, J.S., Marcellan, F.J., Rubio de Francia, J.L., Vinuesa, J. (eds) Orthogonal Polynomials and their Applications. Lecture Notes in Mathematics, vol 1329. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083352

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  • DOI: https://doi.org/10.1007/BFb0083352

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19489-7

  • Online ISBN: 978-3-540-39295-8

  • eBook Packages: Springer Book Archive

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