关于四元Heisenberg群上次Laplace算子的唯一延拓性 |
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作者姓名: | 王家林 廖冬妮 |
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作者单位: | 西北工业大学应用数学系,陕西西安,710072
赣南师范学院科技学院数学与信息科学系,江西赣州,341000 |
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摘 要: | 本文建立了四元Heisenberg群上次Laplace算子的函数表示公式,并讨论了球面函数的性 质,然后给出了带位势的次Laplace方程解的唯一延拓性结果。
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关 键 词: | 唯一延拓性 表示公式 球面函数 四元Heisenberg群 次Laplace算子 |
on Unique Continuation Properties for the Sub-Laplacian on the Quaternionic Heisenberg Group |
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Authors: | WANG Jia-liny LIAO Dong-ni |
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Institution: | Department of Applied Mathematics, Northwestern ;Polytechnical University, Xi’an,710072, China ;Department of mathematics and information, Institute of Science and ;Technology, GanNan Normal University,Ganzhou, 341000, China ; |
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Abstract: | In this paper, representation formulas and properties for the sub-Laplacian on quaternionic Heisenberg groups are established and then some unique continuation results to solutions of sub-Laplace equations with potentials are given. |
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Keywords: | |
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