Fourier-Laplace transformation of functionals on a weighted space of infinitely smooth functions on Rn

被引：3

作者：

Musin, IK ^{[1
]}

机构：

[1] RAS, Ural Branch, Math Inst, Ctr Comp, Ufa, Russia

来源：

SBORNIK MATHEMATICS | 2004年 / 195卷 / 9-10期

关键词：

D O I：

10.1070/SM2004v195n10ABEH000854

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The dual of the space of infinitely smooth functions on R-n with partial derivatives satisfying certain weighted estimates is described in terms of the Fourier-Laplace transformation. An integral representation is obtained for the solutions of a homogeneous linear partial differential equation with constant coefficients that belong to this space.

引用

页码：1477 / 1501

页数：25

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