Luís Daniel Abreu

collaborators

4 papers

quant-ph2026

Isospectral majorization and isoperimetric inequalities for coherent states on the Bloch sphere

Luis Daniel Abreu

Let $P_{N}$ be the $(N + 1)$ -dimensional Hilbert space of analytic polynomials of degree at most $N$ . This is the natural environment to define $S U (2)$ (Bloch) coherent sta…

math.FA2026

The isoperimetric inequality for the Ky Fan norm

Lu\'ıs Daniel Abreu

We show that, among all measurable sets $Ω \subset C$ with finite area $s$ , the disc of area $s$ maximizes the Ky Fan norm, which is defined as the sum of the first $N$ eig…

math.CA2026

Optimal concentration in the Paley-Wiener space

Luís Daniel Abreu, Michael Speckbacher

Let $Ω \subset R$ be a bounded interval and let $P W (Ω)$ be the corresponding Paley--Wiener space. For a measurable set $E \subset R$ of finite measure, consider the…

math.FA2025

On quantum large sieve inequalities and operator recovery from incomplete information

Luís Daniel Abreu, Michael Speckbacher, Erling A. T. Svela

We obtain large sieve type inequalities for the Rayleigh quotient of the restriction of phase space representations of higher rank operators, via an operator analogue of the short-…