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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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