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A factorization result for generalized Nevanlinna functions of the classN k

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Abstract

LetQ∈N k. It is shown that if α is a nonreal pole or a real generalized pole of nonpositive type and β is a nonreal zero or a real generalized zero of nonpositive type of the functionQ then the function

$$Q_1 (z): = \frac{{(z - \alpha )(z - \bar \alpha )}}{{(z - \beta )(z - \bar \beta )}}Q(z)$$

belongs to the classN k−1.

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Authors and Affiliations

  1. Department of Mathematics, P.O. Box 800, 9700 AV, Groningen, The Netherlands

    A. Dijksma

  2. Department of Theoretical Physics, State Pedagogical University, 603600, Nizhny Novgorod, Russia

    Yu. Shondin

  3. Institut für Analysis und Technische Mathematik, Technische Universität Wien, A-1040, Wien, Austria

    H. Langer & A. Luger

Authors
  1. A. Dijksma
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  2. H. Langer
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  3. A. Luger
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  4. Yu. Shondin
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Dijksma, A., Langer, H., Luger, A. et al. A factorization result for generalized Nevanlinna functions of the classN k . Integr equ oper theory 36, 121–125 (2000). https://doi.org/10.1007/BF01236290

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  • DOI: https://doi.org/10.1007/BF01236290

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