Geodesic
On Optimal Harmonic Synthesis from Inaccurate Spectral Data
Funkcionalʹnyj analiz i ego priloženiâ, Tome 44 (2010) no. 3, pp. 76-79

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The problem of optimal recovery of derivatives of functions on the real line from inaccurate Fourier transforms of these functions on a finite interval is studied. Optimal recovery methods different in data handling procedures are constructed.
Keywords: optimal recovery, linear operator, extremal problem.
Mots-clés : Fourier transform 
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     author = {G. G. Magaril-Il'yaev and K. Yu. Osipenko},
     title = {On {Optimal} {Harmonic} {Synthesis} from {Inaccurate} {Spectral} {Data}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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G. G. Magaril-Il'yaev; K. Yu. Osipenko. On Optimal Harmonic Synthesis from Inaccurate Spectral Data. Funkcionalʹnyj analiz i ego priloženiâ, Tome 44 (2010) no. 3, pp. 76-79. http://geodesic.mathdoc.fr/item/FAA_2010_44_3_a8/