关于广义函数赋值问题的完善与积分问题

On the Valuation and Integration of Generalized Functions

中文关键词:  广义函数  调和表示  集值  广义函数积分  广义连续性

英文关键词:generalized function  harmonic representation  set value  integration of generalized function  generatized continuity of generalized function.

中文摘要:

      本文采用非标准分析方法，首先对广义函数的赋值问题进行了完善；接着界定了广义函数的积分；最后讨论了广义函数的广义连续性．

英文摘要:

      We discuss the problem of valuation assignment and integration of generalized functions by nonstandard analysis method. The generalized continuity of generalized functions is also discussed.