Necessary Conditions for UniversalInterpolation in
Canadian journal of mathematics, Tome 33 (1981) no. 6, pp. 1356-1364

Voir la notice de l'article provenant de la source Cambridge University Press

Let be the space of Fourier transforms of distributions with compact support, or equivalently, the space of entire functions h satisfying the growth condition (1) where p(z) = |Imz| + log (1 + |z|2) and A, B are constants depending only on h. A sequence with |zk | ↑ ∞ is said to be a universal interpolation sequence for if for all such that (2) for constants A, B independent of k, there exists such that f(zk ) = ak . In this note we will consider necessary conditions for universal interpolation in and more general subspaces of the entire functions.
Squires, W. A. Necessary Conditions for UniversalInterpolation in. Canadian journal of mathematics, Tome 33 (1981) no. 6, pp. 1356-1364. doi: 10.4153/CJM-1981-104-9
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