# Wydawnictwa / Czasopisma IMPAN / Studia Mathematica / Wszystkie zeszyty

## On absolutely representing systems in spaces of infinitely differentiable functions

### Tom 139 / 2000

Studia Mathematica 139 (2000), 175-188 DOI: 10.4064/sm-139-2-175-188

#### Streszczenie

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 $\overline K̇= K$. Moreover, absolutely representing systems of exponents in the space H(G) of functions analytic in an arbitrary domain $G ⊆ ℂ^p$ are also investigated.

#### Autorzy

• Yu. F. Korobeĭnik

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