This article is cited in 2 papers

Optimal Recovery of Harmonic Functions in the Ball from Inaccurate Information on the Radon Transform

T. È. Bagramyan

Peoples Friendship University of Russia, Moscow

Abstract: We consider the problem of the optimal recovery of harmonic functions in the ball from inaccurate information on the Radon transform. Presented are the error of the optimal recovery and the set of optimal methods for which this error is attained.

Keywords: optimal recovery, Radon transform, harmonic function, Hardy space, Gegenbauer polynomial, spherical harmonic, Lagrange function, Bessel function.

UDC: 517.5

Received: 20.05.2012

DOI: 10.4213/mzm9680

 English version: Mathematical Notes, 2015, 98:2, 195–203

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