| 紧李群上的三角多项式不变算子 |
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| 引用本文： | 郑兵. 紧李群上的三角多项式不变算子[J]. 西北师范大学学报(自然科学版), 1991, 27(3): 1-5 |
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| 作者姓名： | 郑兵 |
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| 作者单位： | 西北师范大学数学系 |
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| 摘 要： | 讨论了紧李群上三角多项式不变算子的一些性质,证明了Faber-Marcinkiewiez公式的Berman推广在紧李群上也成立,同时还说明了紧李群上的Fourier级数具有类似于古典Fourier级数的一些敛散性。
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| 关 键 词： | 紧李群 三角多项式 不变算子 |
Trigonometric Polynomial Invariant Operators on Compact Lie Groups |
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| Zheng Bing. Trigonometric Polynomial Invariant Operators on Compact Lie Groups[J]. Journal of Northwest Normal University Natural Science (Bimonthly), 1991, 27(3): 1-5 |
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| Authors: | Zheng Bing |
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| Affiliation: | Zheng Bing Department of Mathematics |
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| Abstract: | Some properties of trigonometric polynomial invariant operators on compact Lie groups are discussed. The Faber-Marcinkiewiez Formula on compact Lie groups is proved. It is indicated that the convergence or the divergence of the Fourier series on compact Lie groups is similar to that of the classical Fourier series. |
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| Keywords: | compact Lie group Lebesgue constant trigonometric polynomial invariant operator |
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