Solution operators for convolution equations on the germs of analytic functions on compact convex sets in $ℂ^N$

doi:https://doi.org/10.4064/sm-117-1-79-99

Open AccessArticle10.4064/sm-117-1-79-99

Solution operators for convolution equations on the germs of analytic functions on compact convex sets in $ℂ^N$

С. Н. Мелихов-1995-01-01-Studia Mathematica

TL;DRAbstract

$G ⊂ ℂ^N$ 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 whe

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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 whe

Keywords

MathematicsConvolution (computer science)Constant coefficientsSurjective functionAnalytic functionConvex functionRegular polygonOrder (exchange)

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