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On absolutely representing systems in spaces of infinitely differentiable functions

Yu. Korobeĭnik (2000)

Studia Mathematica

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 p , p≥1, while K is a compact set in p with non-void interior K̇ such that K ¯ ̇ = K . Moreover, absolutely representing systems of exponents in the space H(G) of functions analytic in an arbitrary domain G p are also investigated.

On exact sequences of quojections.

G. Metafune, V. B. Moscatelli (1991)

Revista Matemática de la Universidad Complutense de Madrid

We give some general exact sequences for quojections from which many interesting representation results for standard twisted quojections can be deduced. Then the methods are also generalized to the case of nuclear Fréchet spaces.

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