Optimal recovery of harmonic functions in the ball from inaccurate information on the Radon transform

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. © 2015, Pleiades Publishing, Ltd.

Authors
Bagramyan T.E. 1
Journal
Mathematical Notes
Publisher
Pleiades Publishing, Ltd.
Issue number
1-2
Language
English
Pages
195-203
State
Published
Link
External link
DOI
10.1134/S0001434615070196
Volume
98
Year
2015
Organizations
  • 1 Peoples’ Friendship University of Russia, Moscow, Russian Federation
Keywords
Bessel function; Gegenbauer polynomial; Hardy space; harmonic function; Lagrange function; optimal recovery; Radon transform; spherical harmonic
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