On absolutely representing systems in spaces of infinitely differentiable functions

Korobeĭnik, Yu.

Studia Mathematica, Tome 141 (2000), p. 175-188 / Harvested from The Polish Digital Mathematics Library

Résumé

The main part of the paper is devoted to the problem of the existence of absolutely representing systems of exponentials with imaginary exponents in the spaces $C^∞(G)$ and $C^∞(K)$ of infinitely differentiable functions where G is an arbitrary domain in $ℝ^p$, p≥1, while K is a compact set in $ℝ^p$ with non-void interior K̇ such that $\overline{K}̇= K$. Moreover, absolutely representing systems of exponents in the space H(G) of functions analytic in an arbitrary domain $G ⊆ ℂ^p$ are also investigated.

Détail

Publié le : 2000-01-01

Zbl 0974.46004

EUDML-ID : urn:eudml:doc:216717

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