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1995-1996 | 117 | 1 | 79-99
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Solution operators for convolution equations on the germs of analytic functions on compact convex sets in $ℂ^N$

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$G ⊂ ℂ^N$ is compact and convex it is known for a long time that the nonzero constant coefficients linear partial differential operators (of finite or infinite order) are surjective on the space of all analytic functions on G. We consider the question whether solutions of the inhomogeneous equation can be given in terms of a continuous linear operator. For instance we characterize those sets G for which this is always the case.
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  • Department of Mechanics, Mathematisches Institut and Mathematics, Rostov State University, Zorge St. 5, 344104 Rostov-na-Donu, Russia
  • Department of Mechanics, Mathematisches Institut, Heinrich-Heine-Universität Düsseldorf, Universitätsstrasse 1, 40225 Düsseldorf, Germany
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