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
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
收藏
页码:1477 / 1501
页数:25
相关论文
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