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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive
Izv. Vyssh. Uchebn. Zaved. Mat., 2011 Number 12, Pages 15–20 (Mi ivm8401)
A criterion for a spherical design associated with V. A. Yudin potentials

R. E. Afonin, A. B. Pevnyi

Chair of Applied Mathematics, Syktyvkar State University, Syktyvkar, Russia

Abstract: We establish a criterion for a spherical design associated with V. A. Yudin's potentials. Thus we have obtained an extremal property of spherical designs.

Keywords: spherical design, spherical design extremal property, spherical design criterion.

UDC: 519.6

Received: 06.12.2010


 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2011, 55:12, 11–15

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© Steklov Math. Inst. of RAS, 2024