This article presents extensions of the Cramér-Wold theorem to measures that may have infinite mass near the origin. Corresponding results for sequences of measures are presented together with… (More)

We study the inversion of weighted Radon transforms in two dimensions,Rρf (L) = ∫ L f (·) ρ(L, ·) ds, where the weight function ρ(L, x), L a line and x ∈ L, has a special form. It was an important… (More)

We consider a weighted Radon transform in the plane, Rm(ξ, η) = R R f(x, ξx + η)m(x, ξ, η)dx, where m(x, ξ, η) is a smooth, positive function. Using an extension of an argument of Strichartz we prove… (More)

Lars Hörmander 1996. The eminent mathematician Lars Valter Hörmander passed away on November 25, 2012. He was the leading figure in the dramatic development of the theory of linear partial… (More)