多元Riemann可积函数的特征与完备化

Feature and perfection of Riemann integrable function

给出了多元Riemann可积函数的基本特征,证明了多元Riemann可积函数空间的完备化是Lebesgue积分空间.

This paper obtains the feature of Riemann integrable function of many variables. Prove that the perfection of space of Riemann integrable fumction of many variables is just the space of Lebesgue integrable function.