Convolution equations for ultradifferentiable functions and ultradistributions |
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| Authors: | L Frerick |
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| Institution: | a FB Mathematik, Bergische Universität Wuppertal, Gaußstr. 20, D-42097 Wuppertal, Germany
b FB IV Mathematik, Universität Trier, D-54286 Trier, Germany |
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| Abstract: | 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. |
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