| 复形式Fouries级数的几个定理 |
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| 引用本文： | 周玉兴,刘立明,韦儒和.复形式Fouries级数的几个定理[J].河南科学,2012(3):265-268. |
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| 作者姓名： | 周玉兴 刘立明 韦儒和 |
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| 作者单位： | [1]广西师范学院师园学院,广西南宁530226 [2]广西师范学院数学科学学院,广西南宁530023 |
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| 基金项目： | 2010年新世纪广西高等教育教改工程项目（2010JGA106）;广西自然科学基金项目资助（0832083） |
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| 摘 要： | 主要通过Euler公式进行实复转换,得到复形式Fourier级数,并定义其内积和范数,得到复Fourier级数内积及算子的极化恒等式和逼近定理.
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| 关 键 词： | Fourier级数 Fourier系数 内积空间 |
Several Theorems on Complex form of Fourier Series |
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| Zhou Yuxing,Liu Liming,Wei Ruhe.Several Theorems on Complex form of Fourier Series[J].Henan Science,2012(3):265-268. |
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| Authors: | Zhou Yuxing Liu Liming Wei Ruhe |
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| Institution: | 2 (1. College of Shiyuan, Guangxi Teachers Education University, Nanning 530226, Guangxi China; 2. College of Mathematical Sciences, Guangxi Teachers Education University, Nanning 530023, Guangxi China) |
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| Abstract: | The real converted into complex by using Euler＇s formula, complex form of Fourier series was gained. And defined its inner spaces and normed spaces, the polarization identity for inner spaces and operators and approximation theorem of complex Fourier series were gained. |
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| Keywords: | Fourier series： Fourier coefficients inner spaces |
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