Division Theorems in Spaces of Entire Functions with Growth Conditions and their Applications to PDE of Infinite Order∗
SourcePublications of the Research Institute for Mathematical Sciences
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It is shown that every entire function is “slowly decreasing”. As an application of this property, a theorem on analytic continuation of solutions of infinite order differential equations with constant coefficients is proven. © 1994, Research Institute forMathematical Sciences. All rights reserved.