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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 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
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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.
Received: 06.12.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 12, Pages 11–15
DOI: https://doi.org/10.3103/S1066369X11120024
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: R. E. Afonin, A. B. Pevnyi, “A criterion for a spherical design associated with V. A. Yudin potentials”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 12, 15–20; Russian Math. (Iz. VUZ), 55:12 (2011), 11–15
Citation in format AMSBIB
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\by R.~E.~Afonin, A.~B.~Pevnyi
\paper A criterion for a~spherical design associated with V.\,A.~Yudin potentials
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 12
\pages 15--20
\mathnet{http://mi.mathnet.ru/ivm8401}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2963459}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 12
\pages 11--15
\crossref{https://doi.org/10.3103/S1066369X11120024}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84856287351}
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