A Note on Spaces of Absolutely Convergent Fourier Transforms
Let F f be an abolutely convergent Fourier transform on the real line. We extend the following result of K. Karlander to R n for n ≥ 1 : Any closed reflexive subspace { F f } of the space of continuous functions vanishing at infinity is of finite dimension.
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| Veröffentlicht in: | The Journal of fourier analysis and applications 2014-12, Vol.20 (6), p.1328-1337 |
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| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | Let
F
f
be an abolutely convergent Fourier transform on the real line. We extend the following result of K. Karlander to
R
n
for
n
≥
1
: Any closed reflexive subspace
{
F
f
}
of the space of continuous functions vanishing at infinity is of finite dimension. |
|---|---|
| ISSN: | 1069-5869 1531-5851 1531-5851 |
| DOI: | 10.1007/s00041-014-9353-2 |