中北大学学报(自然科学版)2011,Vol.32Issue(1):60-62,3.DOI:10.3969/j.issn.1673-3193.2011.01.018
超可微函数空间D*和超广义函数空间ε'*上卷积映射的连续性
The Continuity of Convolution Maps on Ultradifferentiable Functions D* and Ultradistributions ε'*
摘要
Abstract
The convolutions in ultradifferentiable functions D* and ultradistributions ε'* were discussed,and it is obtained that the convolution maps on D* (RN) and ε'* (RN) are continuous by using the relation of linear topological isomorphism between ultradistributions ε'* and entire functions A'*Ω.关键词
超可微函数空间/超广义函数空间/卷积Key words
ultradifferentiable functions/ ultradistributions/ convolution分类
数理科学引用本文复制引用
李文文,王光..超可微函数空间D*和超广义函数空间ε'*上卷积映射的连续性[J].中北大学学报(自然科学版),2011,32(1):60-62,3.基金项目
山西省回国人员基金资助项目 ()