# On absolutely representing systems in spaces of infinitely differentiable functions

Studia Mathematica (2000)

- Volume: 139, Issue: 2, page 175-188
- ISSN: 0039-3223

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topKorobeĭnik, Yu.. "On absolutely representing systems in spaces of infinitely differentiable functions." Studia Mathematica 139.2 (2000): 175-188. <http://eudml.org/doc/216717>.

@article{Korobeĭnik2000,

abstract = {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.},

author = {Korobeĭnik, Yu.},

journal = {Studia Mathematica},

keywords = {infinitely differentiable functions; absolutely representing system; Whitney compactum},

language = {eng},

number = {2},

pages = {175-188},

title = {On absolutely representing systems in spaces of infinitely differentiable functions},

url = {http://eudml.org/doc/216717},

volume = {139},

year = {2000},

}

TY - JOUR

AU - Korobeĭnik, Yu.

TI - On absolutely representing systems in spaces of infinitely differentiable functions

JO - Studia Mathematica

PY - 2000

VL - 139

IS - 2

SP - 175

EP - 188

AB - 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.

LA - eng

KW - infinitely differentiable functions; absolutely representing system; Whitney compactum

UR - http://eudml.org/doc/216717

ER -

## References

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