Geodesic
A criterion for a~spherical design associated with V.\,A.~Yudin potentials
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2011), pp. 15-20

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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. 
@article{IVM_2011_12_a1,
     author = {R. E. Afonin and A. B. Pevnyi},
     title = {A criterion for a~spherical design associated with {V.\,A.~Yudin} potentials},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {15--20},
     publisher = {mathdoc},
     number = {12},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_12_a1/}
}
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R. E. Afonin; A. B. Pevnyi. A criterion for a~spherical design associated with V.\,A.~Yudin potentials. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2011), pp. 15-20. http://geodesic.mathdoc.fr/item/IVM_2011_12_a1/