Applications of APTARABOLDITALICO(APTARABOLDITALICp, APTARABOLDITALICq)‐invariant distributions. Issue 17 (8th December 2017) - Ortner, Norbert
Abstract: In this sequel to the article17, a criterion for the regularity of fundamental solutions of differential operators with positive symbol is proved in analogy to Hörmander's criteria, see9 12 . It implies that the temperate fundamental solution of the operator [ ∂, ∂ ] 2 + 1 is not regular. Furthermore, a formula for the convolution of two O ( p, q ) ‐invariant distributions is presented, and, finally, L. Schwartz' question on the surjectivity of linear partial differential operators with constant coefficients on the space O M is completely answered in the case of O ( p, q ) ‐invariant differential operators.