Optimal reconstruction of a harmonic function from inaccurate information on the values of the radial integration operator

Summary (translated from the Russian): "We consider the problem of the optimal reconstruction of a function harmonic in the unit ball from inaccurate values of the radial integration operator. Information on the values of the operator is specified as a function that differs from the exact values in the mean-square metric not more than a fixed error value, in the form of a finite set or Fourier coefficients calculated with fixed error in the mean square or in the uniform metric."