Optimization problems related to the John uniqueness theorem

Volchkov, V.; Volchkov, Vit.

doi:10.1090/S1061-0022-2010-01113-0

Optimization problems related to the John uniqueness theorem
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by V. V. Volchkov and Vit. V. Volchkov
Translated by: N. B. Lebedinskaya

St. Petersburg Math. J. 21 (2010), 705-729

DOI: https://doi.org/10.1090/S1061-0022-2010-01113-0

Published electronically: July 14, 2010

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Abstract:

The spectrum structure problem is considered for a distribution that is periodic in the mean and satisfies uniqueness conditions of John type. The solution of this problem is obtained for a wide class of distributions on arbitrary Riemannian two-point-homogeneous spaces.

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