Title

On the support of tempered distributions

Document Type

Article

Publication Date

2-1-2010

Abstract

We show that if the summability means in the Fourier inversion formula for a tempered distribution f ∈ S′(ℝn) converge to zero pointwise in an open set , and if those means are locally bounded in L 1(Ω), then Ω ⊂ ℝn\supp f. We prove this for several summability procedures, in particular for Abel summability, Cesro summability and Gauss-Weierstrass summability. © 2010 Edinburgh Mathematical Society.

Publication Source (Journal or Book title)

Proceedings of the Edinburgh Mathematical Society

First Page

255

Last Page

270

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