A set with no Riesz basis of exponentials (Q6118197)
From MaRDI portal
scientific article; zbMATH DE number 7808560
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A set with no Riesz basis of exponentials |
scientific article; zbMATH DE number 7808560 |
Statements
A set with no Riesz basis of exponentials (English)
0 references
23 February 2024
0 references
Summary: We show that there exists a bounded subset of \(\mathbb{R}\) such that no system of exponentials can be a Riesz basis for the corresponding Hilbert space. An additional result gives a lower bound for the Riesz constant of any putative Riesz basis of the two-dimensional disk.
0 references
Riesz basis
0 references
sampling
0 references
interpolation
0 references
0 references
