On absolutely representing systems in spaces of infinitely differentiable functions

• Autorzy: Yu. F. Korobeĭnik
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46A35: Summability and bases
• 46E10: Topological linear spaces of continuous, differentiable or analytic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2000
• Tom: 139
• Numer: 2
• Strony: 175-188

Daty

wydano

2000

otrzymano

1999-03-22

poprawiono

1999-12-28

Twórcy

autor

Yu. F. Korobeĭnik

• Department of Mechanics and Mathematics, Rostov State University, ul. Zorge, 5, 344090 Rostov-na-Donu, Russia

Bibliografia

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