| 希尔伯特空间有限区域成像积分算子的谱 |
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| 引用本文： | 宋菲君,张涛.希尔伯特空间有限区域成像积分算子的谱[J].光学学报,1987(11). |
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| 作者姓名： | 宋菲君 张涛 |
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| 作者单位： | 北京信息光学仪器研究所
(宋菲君)，美国斯坦福大学物理系(张涛) |
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| 摘 要： | 本文讨论了希尔伯特空间中有限区域成像积分算子的本征值和本征函数,研究了非对称核的情形,并用微扰和有限秩方法计算了衍射受限和离焦情况下的本征值和本征函数。
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| 关 键 词： | 希尔伯特空间物限域 成像积分算子谱 |
Spectrum of imaging integral operator of finite domain in the Hilbert space |
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| SONG FEIJUN.Spectrum of imaging integral operator of finite domain in the Hilbert space[J].Acta Optica Sinica,1987(11). |
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| Authors: | SONG FEIJUN |
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| Abstract: | The eigenvalues and eigenfunctions of the imaging integral operator of finite domain in the Hilbert space are studied in detail in this paper. The authors focus attention on the case of asy asymmetrical kernels. The perturbation and finite rank methods are used to inverse the operator equations to obtain the eigenvalues and eigenfunctions for the defocusing systems. |
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| Keywords: | Finite domain in Hilbert space Spectrum of imaging integral operator |
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