| 关于多重Fourier级数的收敛性 |
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| 引用本文： | 王昆扬.关于多重Fourier级数的收敛性[J].北京师范大学学报(自然科学版),1988(2). |
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| 作者姓名： | 王昆扬 |
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| 作者单位： | 北京师范大学数学系 |
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| 摘 要： | 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.所得结果推广了一元级数的Salem-Стечкин定理
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| 关 键 词： | 多重Fourier级数 收敛 |
ON THE CONVERGENCE OF MULTIPLE FOURIER SERIES |
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| Wang Kunyang.ON THE CONVERGENCE OF MULTIPLE FOURIER SERIES[J].Journal of Beijing Normal University(Natural Science),1988(2). |
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| Authors: | Wang Kunyang |
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| Institution: | Department of Mathematics |
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| Abstract: | 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. |
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| Keywords: | multiple Fourier series convergence |
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