Cn凸域上非齐次卷积方程可解性的一个判据

A. Krivosheev
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引用次数: 16

摘要

当是Cn中的任意凸域和任意凸紧集时,根据解析泛函的拉普拉斯变换,给出了对应于这个泛函的卷积算子是一个泛函的泛函的一个准则。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A CRITERION FOR THE SOLVABILITY OF NONHOMOGENEOUS CONVOLUTION EQUATIONS IN CONVEX DOMAINS OF Cn
A criterion is given, in terms of the Laplace transform of an analytic functional , for the convolution operator , corresponding to this functional, to be an epimorphism, in the case when is an arbitrary convex domain and an arbitrary convex compact set in Cn.
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