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On sequences of linear functionals and some operators of the classS2m

โœ Scribed by Yu. G. Abakumov; N. A. Zabelina; O. N. Shestakova

Book ID
110613874
Publisher
SP MAIK Nauka/Interperiodica
Year
2000
Tongue
English
Weight
358 KB
Volume
41
Category
Article
ISSN
0037-4466

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โœ R. Kozarev ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 406 KB

The question about a reconstruction of functions from a certain class is studied. The reconstruction is realised on the basis of sequences of linear functionals \(l_{n}(f)_{n=1}^{x}\) of the form \(l_{n}(f)=\sum_{k=0}^{m(n)} a_{n k} f\left(x_{n k}\right)\). An explicit expression of the reconstructe