The support of tempered distributions
2008 ◽
Vol 144
(2)
◽
pp. 495-498
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Keyword(s):
AbstractWe identify the support of a tempered distribution by evaluation of a sequence of test functions against the Fourier transform of the distribution. This improves previous results by removing the restriction that the distribution's Fourier transform be in $L^1_{loc}$ and be of polynomial growth. We use an apparently new technical lemma that implies that certain bounded approximate identities for $L^1(\R^n)$ are also topological approximate identities for elements of the space $\Sl$ of Schwartz functions.
1990 ◽
Vol 13
(3)
◽
pp. 431-441
1979 ◽
Vol 2
(1)
◽
pp. 15-28
1989 ◽
Vol 106
(1)
◽
pp. 143-162
◽
Keyword(s):
2015 ◽
pp. 133-146