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Bagramyan, T. E.

Optimal recovery of harmonic functions in the ball from inaccurate information on the Radon transform. (English. Russian original) Zbl 1327.31011

Math. Notes 98, No. 2, 195-203 (2015); translation from Mat. Zametki 98, No. 2, 163-172 (2015).
Summary: 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.

MSC:

31B05 Harmonic, subharmonic, superharmonic functions in higher dimensions
31B20 Boundary value and inverse problems for harmonic functions in higher dimensions

Keywords:

harmonic function; Radon transform
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\textit{T. E. Bagramyan}, Math. Notes 98, No. 2, 195--203 (2015; Zbl 1327.31011); translation from Mat. Zametki 98, No. 2, 163--172 (2015)
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