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Complex spherical semi-designs

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Abstract

We prove a complex analog of Sidelnikov’s integral inequality. In discrete case an inequality turns into equality on the complex spherical semi-designs and only on them.

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References

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Author information

Authors and Affiliations

  1. P. Sorokin Syktyvkar State University, Oktyabr’skii pr. 55, Syktyvkar, 167001, Russia

    N. O. Kotelina & A. B. Pevnyi

Authors
  1. N. O. Kotelina
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  2. A. B. Pevnyi
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Corresponding author

Correspondence to N. O. Kotelina.

Additional information

Original Russian Text © N.O. Kotelina, A.B. Pevnyi, 2017, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, No. 5, pp. 54–60.

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Kotelina, N.O., Pevnyi, A.B. Complex spherical semi-designs. Russ Math. 61, 46–51 (2017). https://doi.org/10.3103/S1066369X17050061

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  • DOI: https://doi.org/10.3103/S1066369X17050061

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