TY - BOOK A1 - Maergoiz, L. A1 - Tarkhanov, Nikolai Nikolaevich T1 - Optimal recovery from finite set in banach spaces of entire functions T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 2006 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - INPR A1 - Maergoiz, L. A1 - Tarkhanov, Nikolai Nikolaevich T1 - Optimal recovery from a finite set in Banach spaces of entire functions N2 - We develop an approach to the problem of optimal recovery of continuous linear functionals in Banach spaces through information on a finite number of given functionals. The results obtained are applied to the problem of the best analytic continuation from a finite set in the complex space Cn, n ≥ 1, for classes of entire functions of exponential type which belong to the space Lp, 1 < p < 1, on the real subspace of Cn. These latter are known as Wiener classes. T3 - Preprint - (2006) 19 Y1 - 2006 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-30199 ER -