The study of global solvability and hypoellipticity of differential operators on manifolds has attained increasing prominence over recent decades. At its core, global solvability investigates the ...

Given a homogeneous k-th order differential operator A(D) on ℝn between two finite dimensional spaces, we establish the Hardy inequality ${\int }_{{\mathrm{\mathbb ...

This monthly journal, published since 1900, is devoted entirely to research in pure and applied mathematics, and, in general, includes longer papers than those in the Proceedings of the American ...

The Dunkl transform is a sophisticated generalisation of the classical Fourier transform, incorporating differential‐difference operators that are defined in relation to reflection groups. This ...