Kevin Hughes

collaborators

Showing math.CAShow all

3 papers · 1 filter

math.CA2026

Trace bounds for limiting operators on rough domains

Kevin Hughes, Arie Israel, Azita Mayeli

This work concerns a quantitative form of Landau's eigenvalue theorem for spatio-spectral limiting operators. We isolate a simple mechanism that converts the problem of estimating…

math.CA2026

Wave packet systems and connections to spectral analysis of limiting operators

Kevin Hughes, Arie Israel, Azita Mayeli

We discuss the design of ``wave packet systems'' that admit strong concentration properties in phase space. We make a connection between this problem and topics in signal processin…

math.CA2024

On the eigenvalue distribution of spatio-spectral limiting operators in higher dimensions, II

Kevin Hughes, Arie Israel, Azita Mayeli

Let $F$ , $S$ be bounded measurable sets in $R^{d}$ . Let $P_{F} : L^{2} (R^{d}) \to L^{2} (R^{d})$ be the orthogonal projection on the subspace of functions wi…