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Matematicheskie Zametki, 2015, Volume 98, Issue 2, Pages 163–172
DOI: https://doi.org/10.4213/mzm9680 (Mi mzm9680) 		 
This article is cited in 2 scientific papers (total 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
Full-text PDF (489 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm9680
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.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00456
This work was supported by the Russian Foundation for Basic Research (grant no. 14-01-00456).
Received: 20.05.2012
English version:
Mathematical Notes, 2015, Volume 98, Issue 2, Pages 195–203
DOI: https://doi.org/10.1134/S0001434615070196
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: T. È. Bagramyan, “Optimal Recovery of Harmonic Functions in the Ball from Inaccurate Information on the Radon Transform”, Mat. Zametki, 98:2 (2015), 163–172; Math. Notes, 98:2 (2015), 195–203
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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