Localization and convergence of eigenfunction expansions

被引：28

作者：

Brandolini, L ^{[1
]}

Colzani, L

机构：

[1] Univ Calabria, Dipartimento Matemat, I-87036 Arcavacata, CS, Italy

[2] Univ Milan, Dipartimento Matemat, I-20126 Milan, Italy

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 1999年 / 5卷 / 05期

关键词：

eigenfunction expansions; localization;

D O I：

10.1007/BF01261637

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We state a localization principle for expansions in eigenfunctions of a self-adjoint second order elliptic operator and we prove an equiconvergence result between eigenfunction expansions and trigonometric expansions. We then study the Gibbs phenomenon for eigenfunction expansions of piecewise smooth functions an two-dimensional manifolds.

引用

页码：431 / 447

页数：17

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