Geodesic
Optimal Recovery of Harmonic Functions in the Ball from Inaccurate Information on the Radon Transform
Matematičeskie zametki, Tome 98 (2015) no. 2, pp. 163-172

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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, harmonic function, Hardy space, spherical harmonic, Lagrange function, Bessel function.
Mots-clés : Radon transform, Gegenbauer polynomial 
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     author = {T. \`E. Bagramyan},
     title = {Optimal {Recovery} of {Harmonic} {Functions} in the {Ball} from {Inaccurate} {Information} on the {Radon} {Transform}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {163--172},
     publisher = {mathdoc},
     volume = {98},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2015_98_2_a0/}
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T. È. Bagramyan. Optimal Recovery of Harmonic Functions in the Ball from Inaccurate Information on the Radon Transform. Matematičeskie zametki, Tome 98 (2015) no. 2, pp. 163-172. http://geodesic.mathdoc.fr/item/MZM_2015_98_2_a0/