On the support of tempered distributions
On the support of tempered distributions
Abstract We show that if the summability means in the Fourier inversion formula for a tempered distribution f ∈ S ′(ℝ n ) converge to zero pointwise in an open set Ω, and if those means are locally bounded in L 1 (Ω), then Ω ⊂ ℝ n \supp f …