Exact asymptotic behavior of singular values of a class of integral operators

被引：0
|
作者：
Dostanic, M [1 ]
机构：
[1] Matemat Fak, YU-11000 Belgrade, Yugoslavia
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 1999年 / 49卷 / 04期
关键词：
Differential Equation; Mathematical Modeling; Ordinary Differential Equation; Asymptotic Behavior; Industrial Mathematic;
D O I：
10.1023/A:1022492731958
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We find an exact asymptotic formula for the singular values of the integral operator of the form ∫Ω T(x, y)k(x-y) · dy: L2(Ω) → L2(Ω) (Ω ⊂ ℝm, a Jordan measurable set) where k(t) = k0((t21 + t22 ... t2m) m/2), k0(x) = xα-1 L(1/x), 1/2 - 1/2m < α < 1/2 and L is slowly varying function with some additional properties. The formula is an explicit expression in terms of L and T.
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页码：707 / 732
页数：26
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