Absolute divergence of series in eigenfunctions of the Laplace operator in the class \(C^{N/2}\) (Q2266385)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Absolute divergence of series in eigenfunctions of the Laplace operator in the class \(C^{N/2}\) |
scientific article |
Statements
Absolute divergence of series in eigenfunctions of the Laplace operator in the class \(C^{N/2}\) (English)
0 references
1983
0 references
Let \(G\subset R^ N\) be a bounded domain. The author shows that for any point \(x_ 0\in G\) there exists a function from the Hölder-Zygmund class \(C^{N/2}(G)\) having in the point \(x_ 0\) an absolutely divergent Fourier-series of eigenfunctions of the Laplace operator.
0 references
absolutely divergent Fourier-series
0 references
eigenfunctions
0 references
Laplace operator
0 references
