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JOURNALS // Algebra i Analiz // Archive

Algebra i Analiz, 2009 Volume 21, Issue 5, Pages 37–69 (Mi aa1152)

This article is cited in 2 papers

Research Papers

Extremal problems related to the John uniqueness theorem

V. V. Volchkov, Vit. V. Volchkov

Donetsk National University, Donetsk, Ukraine

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.

MSC: 44A35

Received: 16.06.2008


 English version:
St. Petersburg Mathematical Journal, 2010, 21:5, 705–729

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