| 球面上Laplace算子谱分析（Ⅰ） |
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| 引用本文： | 邱为钢. 球面上Laplace算子谱分析（Ⅰ）[J]. 杭州师范学院学报(自然科学版), 2008, 7(2): 115-116 |
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| 作者姓名： | 邱为钢 |
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| 作者单位： | 湖州师范学院理学院,浙江,湖州,313000 |
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| 摘 要： | 由无穷求和的技巧,得到了半球面上Laplace算子Zeta函数,热核和行列式的表达式,并讨论了与投影平面圆上谱函数的联系．
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| 关 键 词： | Laplace算子 谱函数 球面 |
| 文章编号： | 1674-232X(2008)02-0115-02 |
| 修稿时间： | 2007-12-16 |
Spectrum of Laplician on Sphere(I) |
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| QIU Wei-gang. Spectrum of Laplician on Sphere(I)[J]. Journal of Hangzhou Teachers College(Natural Science), 2008, 7(2): 115-116 |
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| Authors: | QIU Wei-gang |
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| Affiliation: | QIU Wei-gang (College of Sciences, Huzhou Teachers College, Huzhou 313000, China) |
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| Abstract: | Spectrum function and determinant of Laplacian with Dirichlet and Neuman boundary on half sphere are derived by Hurwitz zeta function and infinite sum. Its conformal relation with that on disk is discussed. |
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| Keywords: | Laplician spectrum function sphere |
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