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局部凸空间上检验函数与广义函数空间的嵌入定理及其应用
董昭; 巩馥洲
1999
Source Publication数学学报
ISSN0583-1431
Volume042Issue:002Pages:335
Abstract设Y是局部凸向量空间,其上装配有Gaussian Radon测度γ。ΦA(Y)(或Φε(Y))是Y上检验函数空间。μA(Y)(或με(Y))是相应的分布函数空间。我们证明了:ΦA(Y)(或Φε(Y))→L^2(Y,γ)→↑*L^2(Y,γ)→μA(Y)(或με(Y)),并由此得到μA(Y)(或με(Y))上的Fourier变换公式。其中“*”表示复共轭算子,“→”表示连续稠线线性嵌入。进一步还得到
Language英语
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/38164
Collection应用数学研究所
Affiliation中国科学院数学与系统科学研究院
Recommended Citation
GB/T 7714
董昭,巩馥洲. 局部凸空间上检验函数与广义函数空间的嵌入定理及其应用[J]. 数学学报,1999,042(002):335.
APA 董昭,&巩馥洲.(1999).局部凸空间上检验函数与广义函数空间的嵌入定理及其应用.数学学报,042(002),335.
MLA 董昭,et al."局部凸空间上检验函数与广义函数空间的嵌入定理及其应用".数学学报 042.002(1999):335.
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