某些新广义函数类(英文)

Some Classes of New Generalized Functions

给出由非标准离散函数及其差商所定义的新广义函数的某些类，它们密切联系于通常的直至某阶为连续可微的函数．周的一个深刻的定理被用来建立这些类与非标准Ｓｏｂｏｌｅｖ空间之间的关系．

In this paper, we present some special classes of new generalized functions defined by nonstandard discrete functions and difference quotients, which is closely relevant to the usual functions continuously differentiable up to some order. A profound theorem of Zhou is used to establish the relation of nonstandard Sobolev spaces with the classes of new generalized functions mentioned above.