L^1(-∞,∞)上的Fourier变换 |
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引用本文: | 王海华,张学俊.L^1(-∞,∞)上的Fourier变换[J].江苏教育学院学报,2008(4):12-15. |
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作者姓名: | 王海华 张学俊 |
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作者单位: | [1]江苏城市职业学院昆山办学点数学组,江苏昆山215316 [2]江苏教育学院数学系,江苏南京210013 |
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摘 要: | 我们讨论L^1(-∞,∞)上的Fourier变换,给出Fourier变换的若干重要性质,还讨论Fourier变换的部分反演性质,这些都是Fourier系数在L^1(-∞,∞)中的推广,但具有更广泛的应用,本文的证明比1]中详细,证明的方法也有所不同.
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关 键 词: | Fourier变换 Fourier变换的反演 |
Fourier Transform in L^1(-∞,∞) |
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Institution: | WANG Haihua ZHANG Xuejun (1. Mathematic Group, Jiangsu City Vocational College Kunshan Campus, Kunshang, Jiangsu, 215300; 2. Mathematic Department, Jiangsu Institute of Education, Nanjing , Jiangsu , 210013 ) |
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Abstract: | In this article the authors present a discussion on the Fourier transformation in L^1(-∞,∞). Several important properties of Fourier transform and partial inversion properties of Fourier transform, which are the promotion of Fourier in L^1(-∞,∞), will also be provided. All proves in this article are different from those in , and much more detailed. |
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Keywords: | Fourier transform inversion of Fourier transform |
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