| 直和空间上极限圆情形的自伴Sturm－Liouville算子的谱分解 |
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| 引用本文： | 刘铁英,张秀萍. 直和空间上极限圆情形的自伴Sturm－Liouville算子的谱分解[J]. 内蒙古大学学报(自然科学版), 1995, 0(4) |
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| 作者姓名： | 刘铁英 张秀萍 |
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| 作者单位： | 内蒙古大学计算机科学系，内蒙古监狱管理局 |
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| 摘 要： | 按区间端点中极限圆点的个数分三种情况讨论了两个Ｈｉｌｂｅｒｔ空间的直和空间上极限圆情形的自伴Ｓｔｕｒｍ－Ｌｉｏｕｖｉｌｌｅ算子的谱分解问题，证明了在这些情况下，上述算子只有纯点谱，并给出了谱分解．
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| 关 键 词： | 自伴Sturm－Liouville算子，直和空间，谱，谱分解 |
Spectral Decomposition of Self-Adjoint Sturm-Liouville Operator in Limiting Circle Case in Direct Sum Spaces |
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| Liu Tieying Zhang Xiuping. Spectral Decomposition of Self-Adjoint Sturm-Liouville Operator in Limiting Circle Case in Direct Sum Spaces[J]. Acta Scientiarum Naturalium Universitatis Neimongol, 1995, 0(4) |
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| Authors: | Liu Tieying Zhang Xiuping |
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| Abstract: | he spectral decomposition of self-adjoint Sturm-Liouville operator in direct sum space oftwo Hilbert spaces is discussed in three cases characterized by the number of limiting circle pointsat the interval ends. It is shown that in these cases ,the operator has pure point spectrum only,andthe spectral decomposition of the operator is also given. |
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| Keywords: | self-adjoint Sturm-Liouville operator direct sum space spectrum spectral decomposition |
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