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Optimal recovery of a harmonic function from inaccurate information on the values of the radial integration operator
Vladikavkaz Mathematical Journal 2012. Vol. 14. Issue 1.
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.
Keywords: optimal recovery, harmonic function, computerized tomography
Language: Russian Download the full text
For citation: †Bagramyan T. Optimal recovery of a harmonic function from inaccurate information on the values of the radial integration operator. Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], 2012, vol. 14, no. 1, pp. 22-36. DOI 10.23671/VNC.2012.14.10951
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