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The Bergman kernel of the symmetrized polydisc in higher dimensions has zeros

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Abstract.

We prove that the Bergman kernel of the symmetrized polydisc in dimension greater than two has zeros.

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Authors and Affiliations

  1. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113, Sofia, Bulgaria

    Nikolai Nikolov

  2. Instytut Matematyki, Uniwersytet Jagielloński, Reymonta 4, PL-30-059, Kraków, Poland

    Włodzimierz Zwonek

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  1. Nikolai Nikolov
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  2. Włodzimierz Zwonek
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Correspondence to Nikolai Nikolov.

Additional information

Received: 15 November 2005; revised: 10 January 2006

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Nikolov, N., Zwonek, W. The Bergman kernel of the symmetrized polydisc in higher dimensions has zeros. Arch. Math. 87, 412–416 (2006). https://doi.org/10.1007/s00013-006-1801-z

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  • DOI: https://doi.org/10.1007/s00013-006-1801-z

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