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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1997 Volume 244, Pages 181–185 (Mi znsl530)

On reconstruction of the density based on the finite set of Radon's transformation

L. B. Klebanovab, L. A. Khalfina

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b St. Petersburg State University of Architecture and Civil Engineering

Abstract: In this paper we give the estimates of the approximate (in the different metrixes) reconstruction of the smoothed density based on the finite set of Radon's transformation for the different smoothing kernels.

UDC: 519.2

Received: 05.09.1997


 English version:
Journal of Mathematical Sciences (New York), 2000, 99:2, 1127–1129

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