Geodesic
Optimal recovery of a harmonic function from inaccurate information on the values of the radial integration operator
Vladikavkazskij matematičeskij žurnal, Tome 14 (2012) no. 1, pp. 22-36 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider the problem of optimal recovery of a harmonic function in the unit ball from the inaccurate values of the radial integration operator. Information on the values of the operator is given as a function that differs from the exact values in the mean-square metric not more than a fixed error, either in the form of a finite set of Fourier coefficients calculated with a fixed error in the mean square or uniform metric. 
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T. Bagramyan. Optimal recovery of a harmonic function from inaccurate information on the values of the radial integration operator. Vladikavkazskij matematičeskij žurnal, Tome 14 (2012) no. 1, pp. 22-36. http://geodesic.mathdoc.fr/item/VMJ_2012_14_1_a2/

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