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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive
Izv. Vyssh. Uchebn. Zaved. Mat., 2017 Number 5, Pages 54–60 (Mi ivm9237)
This article is cited in 3 papers

Complex spherical semi-designs

N. O. Kotelina, A. B. Pevnyi

P. Sorokin Syktyvkar State University, 55 Oktyabr'skii Ave., Syktyvkar, 167001 Russia

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.

Keywords: Sidelnikov's inequality, complex spherical semi-designs.

UDC: 517.55

Received: 10.11.2015


 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2017, 61:5, 46–51

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© Steklov Math. Inst. of RAS, 2024