| 广义Sublaplace算子的谱乘子定理 |
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| 引用本文： | 张震球,宣培才.广义Sublaplace算子的谱乘子定理[J].数学学报,1998,41(1):153-160. |
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| 作者姓名： | 张震球 宣培才 |
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| 作者单位： | [1]天津大学数学系 [2]绍兴文理学院计算机系 |
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| 摘 要： | 本文通过建立与广义Ｓｕｂｌａｐｌａｃｅ算子Ｌ相关的Ｌｉｔｌｅｗｏｏｄ－Ｐａｌｅｙ理论，得到Ｌ的谱乘子定理，作为该结果的应用，并给出一类Ｌａｇｕｅｒｅ函数展开的乘子定理
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| 关 键 词： | 广义Sublaplace算子，谱乘子，Laguerre展开 |
| 收稿时间： | 1997-1-13 |
The Spectral Multiplier Theorem for the Generalized Sublaplacian |
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| Zhang Zhenqiu.The Spectral Multiplier Theorem for the Generalized Sublaplacian[J].Acta Mathematica Sinica,1998,41(1):153-160. |
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| Authors: | Zhang Zhenqiu |
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| Institution: | Zhang Zhenqiu (Department of Mathematics, Tianjin University, Tianjin 300072, China) Xuan Peicai (Department of Computer Sciences, Shaoxing College of Art and Sciences, Shaoxing 312000, China) |
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| Abstract: | In this paper, by establishing Littlewood-Paley theory associated with the generalized Sublaplacian L, we obtain the spectral multipliers theorem for L. As a consequence, the multipliers for a certain kind of Laguerre expansions are given. |
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| Keywords: | Generalized sublaplacian Spectral multiplier Laguerre expansions |
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