关于多重Fourier级数的收敛性

ON THE CONVERGENCE OF MULTIPLE FOURIER SERIES

经典的Rogosinsky恒等式推广到多元情况形并用来求得一致收敛和a.e.收敛的判别条件.

The classical Rogosinsky identical relation is extended to the case of eseveral variables and the extension is used to get the conditions for uniform convergence and for a. e. convergence. The results extend the Salem-Stechkin theorems of single series.