From the 1 of 4 linked papers with an AI index.
4 papers
Isospectral majorization and isoperimetric inequalities for coherent states on the Bloch sphere
Luis Daniel Abreu
Let be the -dimensional Hilbert space of analytic polynomials of degree at most . This is the natural environment to define (Bloch) coherent sta…
The isoperimetric inequality for the Ky Fan norm
Lu\'ıs Daniel Abreu
The paper proves that among all measurable sets in the complex plane with a given area, the disc maximizes the Ky Fan norm (the sum of the first N eigenvalues) of the associated To…
Optimal concentration in the Paley-Wiener space
LuÃs Daniel Abreu, Michael Speckbacher
Let be a bounded interval and let be the corresponding Paley--Wiener space. For a measurable set of finite measure, consider t…
On quantum large sieve inequalities and operator recovery from incomplete information
LuÃs 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-…