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某些Mercer核矩阵的权范数 被引量:2

The Weighted Norm for Some Mercer Kernel Matrices
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摘要 借助整函数插值研究由函数的广义平移所生成的Mercer核矩阵及其逆矩阵权范数的上、下界估计问题,将定义在无限区间上整函数的广义平移所生成的Mercer核矩阵权范数界的估计转化为其Fourier-Bessel变换来估计. In the present paper, the upper and lower bounds of the weighted norm for the Mercer kernel matrix produced by the generalized translation of an entire function defined on the infinite interval are investigated, the weighted norm is estimated by the Fourier-Bessel of the entire function.
作者 盛宝怀
出处 《数学物理学报(A辑)》 CSCD 北大核心 2013年第1期6-15,共10页 Acta Mathematica Scientia
基金 国家自然科学基金(10871226.61179041) 浙江省自然科学基金(Y610009(i)资助
关键词 Mercer核矩阵 Rayleigh熵数 整函数插值 BESSEL函数 学习理论 Mercer kernel matrices Rayleigh entropy Entire function interpolation Besselfunctions Learning theory.
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