Combining Riesz bases

By Gady Kozma, S. Nitzan. Inventiones Mathematicae, 2012

79 citations recorded by the source corpus.

We show that any finite union of intervals supports a Riesz basis of exponentials.

Subfields: Applied Mathematics, Computer Vision and Pattern Recognition, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/de4e1e801f6e8b0d41f0578ef877151e4a3b7f06

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Nir Lev
2. Sigrid Grepstad
3. Mihail N. Kolountzakis
4. Máté Matolcsi
5. Xin-Rong Dai

In Computer Vision and Pattern Recognition

1. Mihail N. Kolountzakis

In Mathematical Physics

1. Sigrid Grepstad
2. Mihail N. Kolountzakis
3. Nir Lev

Citations in the corpus

• Multi-tiling and Riesz bases (2012, background): “It is a recent result due to Kozma and Nitzan [10] that any finite union of intervals admits a Riesz basis of exponentials.”
• Multiple lattice tiles and Riesz bases of exponentials (2013, background): “It is expected that the existence of a Riesz basis for a domain Ω is a much more general, and perhaps even generic, phenomenon, although proofs of existence of a Riesz basis for specific domains are still rather rare, especially in higher dimension [9, 10, 12].”