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

被引：0

作者：

T. E. Bagramyan

机构：

[1] Peoples’ Friendship University of Russia,

来源：

Mathematical Notes | 2015年 / 98卷

关键词：

optimal recovery; Radon transform; harmonic function; Hardy space; Gegenbauer polynomial; spherical harmonic; Lagrange function; Bessel function;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：195 / 203

页数：8

共 50 条

[1] Optimal recovery of harmonic functions in the ball from inaccurate information on the Radon transform
Bagramyan, T. E.
[J]. MATHEMATICAL NOTES, 2015, 98 (1-2) : 195 - 203
[2] Optimal recovery of values of functions and their derivatives from inaccurate data on the Fourier transform
Magaril-Il'yaev, GG
Osipenko, KY
[J]. SBORNIK MATHEMATICS, 2004, 195 (9-10) : 1461 - 1476
[3] ON SOME PROBLEMS OF OPTIMAL RECOVERY OF ANALYTIC AND HARMONIC-FUNCTIONS FROM INACCURATE DATA
OSIPENKO, KY
STESSIN, MI
[J]. JOURNAL OF APPROXIMATION THEORY, 1992, 70 (02) : 206 - 228
[4] ON SOME PROBLEMS OF OPTIMAL RECOVERY OF ANALYTIC AND HARMONIC-FUNCTIONS FROM INACCURATE DATA
OSIPENKO, KY
STESIN, MI
[J]. SIBERIAN MATHEMATICAL JOURNAL, 1993, 34 (03) : 523 - 539
[5] OPTIMAL RECOVERY OF DERIVATIVES OF BOUNDED ANALYTIC AND HARMONIC-FUNCTIONS FROM INACCURATE DATA
OSIPENKO, KY
STESIN, MI
[J]. MATHEMATICAL NOTES, 1993, 53 (5-6) : 513 - 520
[6] The optimal recovery of a function from an inaccurate information on its k-plane transform
Bagramyan, Tigran
[J]. INVERSE PROBLEMS, 2016, 32 (06)
[7] Optimal recovery of functions and their derivatives from inaccurate information about the spectrum and inequalities for derivatives
Magaril-Il'yaev, GG
Osipenko, KY
[J]. FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2003, 37 (03) : 203 - 214
[8] Optimal Recovery of Functions and Their Derivatives from Inaccurate Information about the Spectrum and Inequalities for Derivatives
G. G. Magaril-Il'yaev
K. Yu. Osipenko
[J]. Functional Analysis and Its Applications, 2003, 37 : 203 - 214
[9] Optimal recovery of solutions of the generalized heat equation in the unit ball from inaccurate data
Osipenko, K. Yu.
Wedenskaya, E. V.
[J]. JOURNAL OF COMPLEXITY, 2007, 23 (4-6) : 653 - 661
[10] Optimal estimates for harmonic functions in the unit ball
David Kalaj
Marijan Marković
[J]. Positivity, 2012, 16 : 771 - 782

← 1 2 3 4 5 →