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.

引用

页码：707 / 732

页数：26

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