Convolution equations for ultradifferentiable functions and ultradistributions

We characterize surjectivity of convolution operators on spaces of ultradifferentiable functions and ultradistributions of Beurling type in the spirit of Hörmander’s convexity conditions. This completes results of Bonet, Galbis, and Meise. In contrast to the classical approach our proofs only use properties of ultradistributions and functional analytic tools.  2004 Elsevier Inc. All rights reserved.