ω-超广义函数空间的结构与关系  

Structures and Relations of ω-Ultradistributions

作　　者：薛琳[1] 

机构地区：[1]洛阳师范学院数学科学学院,河南洛阳471022

出　　处：《中北大学学报（自然科学版）》2015年第2期126-130,共5页Journal of North University of China(Natural Science Edition)

基　　金：山西省回国留学人员科研资助项目(2012-011)

摘　　要：讨论了广义函数理论研究中的ω-超广义函数空间的结构和关系.通过Fourier-Lapalace变换建立了ω-超可微函数和ω-超广义函数空间与某些实解析函数空间之间的拓扑同构对应关系,从而可以利用实解析函数空间来考察ω-超可微函数和ω-超广义函数空间的结构和特性.此外,还给出了两类ω-超广义函数的某种结构表示.The structures and relations of ω-ultradistributions in the theory of distributions were dis-cussed.Some topological isomorphism relations between ω-ultra-differentiable functions,ω-ultradistri-butions and some real-analytic function spaces were set up by Fourier-Laplace transform,so that the structures and properties of ω-ultradistributions and ω-ultra-differentiable function spaces could be studied by real-analytic function spaces.Moreover,a structure of two ω-ultradistributions was ob-tained.

关 键 词：权函数 ω-超可微函数 ω-超广义函数 实解析函数空间 

分 类 号：O177.4[理学—数学]