Local solvability of PDE with constant coefficients

The fundamental result of the paper consists in the following assertion: Let D be an open set in Rn,f £ e L2(D), and let μ be a distribution in Rn with a compact support, whose Fourier transform\(\hat \mu\) satisfies the condition $$\int\limits_{R^n } {|\hat \mu } (\xi )|^{ - C} (1 + |\xi |)^{ - m} d\xi< \infty$$ for some c, m > 0. Them there exists a distribution u such that μ *u=f ingD.