Note on a Result of Kerman and Weit II
Let G be a locally compact topological group, equipped with a fixed left Haar measure μ . We show that if f is a compactly supported real valued continuous function on G which has a unique maximum or a unique minimum at a point in G , then the space generated by the span of left translations of { f...
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| Veröffentlicht in: | The Journal of fourier analysis and applications 2013-04, Vol.19 (2), p.251-255 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Let
G
be a locally compact topological group, equipped with a fixed left Haar measure
μ
. We show that if
f
is a compactly supported real valued continuous function on
G
which has a unique maximum or a unique minimum at a point in
G
, then the space generated by the span of left translations of {
f
n
∣
n
=1,2,3,…} is dense in
L
p
(
G
,
μ
), 1≤
p |
|---|---|
| ISSN: | 1069-5869 1531-5851 |
| DOI: | 10.1007/s00041-012-9247-0 |