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On the spectrum of tridiagonal operators and the support of orthogonalization measures

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Abstract

We investigate the support of the orthogonalization measure π of a large class of orthogonal polynomial sequences based on the parameters of the three-term recurrence relation. Our main result is the characterization when the possible right end-point 1 is a member of supp π.

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Authors and Affiliations

  1. Helmholtz National Research Center for Environment and Health, Institute of Biomathematics and Biometry, Ingolstädter Landstraße 1, 85764, Neuherberg, Germany

    Rupert Lasser & Josef Obermaier

  2. Department of Mathematics, Technical University of Munich, 85748, Garching, Germany

    Rupert Lasser & Julia Wagner

Authors
  1. Rupert Lasser
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  2. Josef Obermaier
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  3. Julia Wagner
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Correspondence to Rupert Lasser.

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Lasser, R., Obermaier, J. & Wagner, J. On the spectrum of tridiagonal operators and the support of orthogonalization measures. Arch. Math. 100, 289–299 (2013). https://doi.org/10.1007/s00013-013-0489-0

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  • DOI: https://doi.org/10.1007/s00013-013-0489-0

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