| 具两奇异端点的对称微分算子的自伴域 |
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| 引用本文： | 李文明. 具两奇异端点的对称微分算子的自伴域[J]. 内蒙古大学学报(自然科学版), 1989, 20(3): 291-298 |
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| 作者姓名： | 李文明 |
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| 作者单位： | 内蒙古大学数学系 |
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| 摘 要： | 本文首先给出了由对称微分算式生成的最大算子域的构造定理,在此基础上得到了具两奇异端点的对称微分算子自伴扩张的解析描述。
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| 关 键 词： | 对称微分算式 自伴域 亏指数 极限点 |
The Domains of Self-adjoint Extensions of Ordinary Symmetric Differential Operators with Two Singular end Points |
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| Li Wenming. The Domains of Self-adjoint Extensions of Ordinary Symmetric Differential Operators with Two Singular end Points[J]. Acta Scientiarum Naturalium Universitatis Neimongol, 1989, 20(3): 291-298 |
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| Authors: | Li Wenming |
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| Affiliation: | Depertment of Mathematics |
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| Abstract: | A decomposition theorem on the domain of maximal operator generated by symmetric differential expression is proved firstly. Then using this theorem we obtain the complete characterization of all self-adjoint extensions of n-th order symmetric differential operators with two singular end points. |
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| Keywords: | Symmetric differential expression Self-adjoint domain Deficiency index Limit-point case |
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