| 正定Lipschitz核的本征值 |
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| 引用本文： | 韩彦彬.正定Lipschitz核的本征值[J].河北大学学报(自然科学版),1991(2). |
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| 作者姓名： | 韩彦彬 |
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| 作者单位： | 河北大学数学系 |
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| 摘 要： | 设 G 是 R~d 中闭单位正方体,正定对称核 K(x,y)在 G×G 上满足α阶的 Lipschitz条件。本文证明,由 K(x,y)生成的积分算子 K 的本征值渐近为 O(1/(n~(1+α/d)))。
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| 关 键 词： | 正定核 Lipschitz条件 本征值 |
The Eigenvalues of Positive Definite Lipschitz Kernels |
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| Han Yanbin.The Eigenvalues of Positive Definite Lipschitz Kernels[J].Journal of Hebei University (Natural Science Edition),1991(2). |
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| Authors: | Han Yanbin |
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| Institution: | Department of Mathematics |
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| Abstract: | Suppose that G is an unit closed cube in Rd, and the positive definite symmetric Kernels K (x, y) satisfy a Lipschitz condition of order a on GxG . It is proved in this paper that the eigenvalues of the integral operator K generated by K(x,y) are asymptotically O |
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| Keywords: | Positive definite kernel Lipschitz condition eigenvalue |
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