A generalization of Bochner's extension theorem and its application

A generalization of Bochner's extension theorem and its application
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博赫纳可拓定理的推广及其应用

DOI:
10.1007/bf02384327
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发表时间:
2000
期刊:
Arkiv för Matematik
影响因子:
--
通讯作者:
M. Uchida
M. Uchida
中科院分区:
--
文献类型:
--
作者:
M. Sugimoto;M. Uchida

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设M是光滑仿紧实流形。设Z是M的闭光滑子流形,P是M上具有光滑系数的微分算子(或微分算子矩阵)。在下文中,m表示P的顺序。(本文将使用此符号。)对于M上的分布f,我们考虑微分方程解
Let M be a smooth paracompact real manifold. Let Z be a closed smooth submanifold of M. Let P be a differential operator (or a matrix of differential operators) on M with smooth coefficients. In the following m denotes the order of P.(This notation will be used through this paper.) For a distribution f on M, we consider solutions of the differential equation