| 多元函数规范窗口Fourier变换的值域 |
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| 引用本文： | 余保民. 多元函数规范窗口Fourier变换的值域[J]. 内江师范学院学报, 2010, 25(12): 14-16 |
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| 作者姓名： | 余保民 |
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| 作者单位： | 渭南师范学院数学与信息科学系,陕西渭南714000 |
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| 基金项目： | 渭南师范学院科研基金资助项目 |
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| 摘 要： | 利用算子论和积分论的方法,研究了L2（Rd）中规范窗口Fourier变换的值域,给出了其值域和值域的正交补的刻画,即F∈ran（Twwin）当且仅当F（b,ω）=w12〈F,Twwinwb,w〉,G∈（ran（Twwin））⊥当且仅当∫R2dG（b,ω）w（t-b）e2πiω.tdbdω=0.
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| 关 键 词： | 规范窗口 Fourier变换 值域 正交补 |
The Range of Windowed Fourier Transform of Multivariate Functions |
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| YU Bao-min. The Range of Windowed Fourier Transform of Multivariate Functions[J]. Journal of Neijiang Teachers College, 2010, 25(12): 14-16 |
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| Authors: | YU Bao-min |
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| Affiliation: | YU Bao-min(Department of Mathematics and Information Science,Weinan Teachers University,Weinan,Shanxi 714000,China) |
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| Abstract: | By aid of operator and integral theory,the range of normalized windowed Fourier transform in L2（Rd） is studied,and the characteristics of the range and its orthogonal complement are presented respectively. |
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| Keywords: | normalized window Fourier transform range orthogonal complement |
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