| Heisenberg群上二阶左不变LPDO的局部可解性—辛变换技巧 |
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| 引用本文： | 崔尚斌.Heisenberg群上二阶左不变LPDO的局部可解性—辛变换技巧[J].兰州大学学报(自然科学版),1992(1). |
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| 作者姓名： | 崔尚斌 |
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| 作者单位： | 兰州大学数学系 兰州730000 |
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| 摘 要： | 运用关于缓增分布的Hermite表示理论结合辛变换技巧,讨论了Hn上一类二阶左不变偏微分算子的局部可解性问题,指出对这类算子来说,其局部可解性存在离散现象.
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| 关 键 词： | Heisenberg群 局部可解性 辛变换 |
Local Solvability of Second Order Left Invariant LPDOs on the Heisenberg Group--Symplectic Transformation Method |
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| Cui Shangbin.Local Solvability of Second Order Left Invariant LPDOs on the Heisenberg Group--Symplectic Transformation Method[J].Journal of Lanzhou University(Natural Science),1992(1). |
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| Authors: | Cui Shangbin |
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| Abstract: | By using the Hermite expansion theory for tempered distributions and symplectic transformation method,we have studied the local solvabilityof a class of second order left invariant partial differential operators onthe group Hn,and pointed out that discrete phenomena may occur forthe local solvability of this class of operators. |
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| Keywords: | Heisenberg group local solvability symplectic trannsformation |
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