| 象征算子的紧算子逼近算法和逼近速度 |
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| 引用本文： | 杨奇祥.象征算子的紧算子逼近算法和逼近速度[J].数学学报,2007,50(5):999-100. |
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| 作者姓名： | 杨奇祥 |
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| 作者单位： | 武汉大学数学与统计学院,武汉430072 |
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| 摘 要： | 传统的微分方程的方法是利用Taylor展开用主象征逼近象征;本文用充分好的紧算子来逼近象征算子,并且逼近算子在算子范数意义下快速逼近原来的算子.
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| 关 键 词： | Hrmander象征类 小波 紧算子 |
| 文章编号： | 0583-1431（2007）05-0999-08 |
| 收稿时间： | 2006-5-16 |
| 修稿时间： | 2006-05-162006-12-15 |
Symbol Operator and the Speed of ApproximAtion by Compact Operator |
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| Qi Xiang YANG.Symbol Operator and the Speed of ApproximAtion by Compact Operator[J].Acta Mathematica Sinica,2007,50(5):999-100. |
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| Authors: | Qi Xiang YANG |
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| Institution: | Qi Xiang YANG School of Mathematics and Statistics.Wuhan University.Wuhan 430072.P.R.China |
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| Abstract: | In the traditional PDE problem,one approximates symbol by principal symbol in Taylor decomposition's way.In this paper,we apply appropriate wavelets to approximate the symbol operator by a very good compact operator,and such an operator converges very fast to the original symbol operator in the sense of operator's continuity norm. |
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| Keywords: | Hoermander symbol class wavelets compact operator |
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