| 多元函数的窗口Fourier变换 |
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| 引用本文： | 刘龙飞,余保民,曹怀信.多元函数的窗口Fourier变换[J].渭南师范学院学报,2011,26(6):9+11-14. |
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| 作者姓名： | 刘龙飞 余保民 曹怀信 |
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| 作者单位： | 1. 渭南师范学院数学与信息科学学院，陕西渭南，714000
2. 渭南师范学院数学与信息科学学院，陕西渭南，7140002 |
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| 基金项目： | 国家自然科学基金资助项目(10571113); 渭南师范学院科研计划项目(11YKZ052) |
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| 摘 要： | 用算子论和积分论的方法,研究了多元函数的规范窗口Fourier变换Twwinf的连续性和有界性.证明了Twwin的弱反演公式和强反演公式,给出了算子Twwin的值域刻画定理.
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| 关 键 词： | 规范窗口 Fourier变换 反演公式 值域定理 |
Windowed Fourier Transformation of Multivariate Functions |
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| LIU Long-fei,YU Bao-min,CAO Huai-xin.Windowed Fourier Transformation of Multivariate Functions[J].Journal of Weinan Teachers College,2011,26(6):9+11-14. |
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| Authors: | LIU Long-fei YU Bao-min CAO Huai-xin |
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| Affiliation: | LIU Long-fei1,YU Bao-min1,CAO Huai-xin2(1 college of Mathematics and Information Science,Weina Teachers University,Weinan Shananxi 714000,China,2 College of Mathematics and Information Science,Shanxi Normal University.Xi'an 710062,China) |
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| Abstract: | By using operator and integral theory,the continuity and boundedness of normallized windowed Fourier transformation Twinwf of multivariate functions are proved,a weak reconstruction formula and a strong reconstruction formula is established,respectively.Also,a characteristic of range theorem is given. |
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| Keywords: | normalized window Fourier transformation reconstruction formula range theorem |
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