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Localization and convergence of eigenfunction expansions |
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| Authors: | Luca Brandolini Leonardo Colzani |
| Affiliation: | (1) Dipartimento di Matematica, Universitá della Calabria, Arcavacata di Rende, 87036 Rende (CS), Italia;(2) Dipartimento di Matematica, Università di Milano Bicocca, Via Bicocca degli Arcimboldi 8, 20126 Milano, Italia |
| Abstract: | 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 on two-dimensional manifolds. |
| Keywords: | Eigenfunction expansions localization |
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