МЕТОД ДЕЛЬСАРТА В ЗАДАЧЕ О КОНТАКТНЫХ ЧИСЛАХ ПРОСТРАНСТВ БОЛЬШИХ РАЗМЕРНОСТЕЙ

Resultado de pesquisa: Articlerevisão de pares

Resumo

We consider extremal problems for continuous functions that are nonpositive on a closed interval and can be represented as series in Gegenbauer polynomials with nonnegative coefficients. These problems arise from the Delsarte method of finding an upper bound for the kissing number in the Euclidean space. We develop a general method for solving such problems. Using this method, we reproduce results of previous authors and find a solution in the following 11 new dimensions: 147, 157, 158, 159, 160, 162, 163, 164, 165, 167, and 173. The arising extremal polynomials are of a new type.
Título traduzido da contribuiçãoDelsarte method in the problem on kissing numbers in high-dimensional spaces
Idioma originalRussian
Páginas (de-até)224-239
Número de páginas16
RevistaТруды института математики и механики УрО РАН
Volume18
Número de emissão4
Estado da publicaçãoPublished - 2012

GRNTI

  • 27.00.00 MATHEMATICS

Level of Research Output

  • VAK List

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