Geodesic
Interpolation and absolutely convergent series in Fréchet spaces
Sbornik. Mathematics, Tome 210 (2019) no. 1, pp. 105-144 Cet article a éte moissonné depuis la source Math-Net.Ru

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A theorem due to Eidelheit concerning the interpolation problem for a sequence of continuous linear functionals in a Fréchet space is generalized. A solvability criterion for the interpolation problem is obtained in the form of an absolutely convergent series whose elements are in a fixed set. A solution of the system of equations for a sequence of functionals is constructed explicitly in a particular case. These results are then applied to spaces of holomorphic functions. Bibliography: 15 titles.
Keywords: absolutely convergent series, continuous linear functionals, spaces of holomorphic functions, series of exponentials.
Mots-clés : Fréchet space, interpolation 
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S. G. Merzlyakov. Interpolation and absolutely convergent series in Fréchet spaces. Sbornik. Mathematics, Tome 210 (2019) no. 1, pp. 105-144. http://geodesic.mathdoc.fr/item/SM_2019_210_1_a3/

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