7 papers
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…
Spectral deviation of concentration operators on reproducing kernel Hilbert spaces
Felipe Marceca, José Luis Romero, Michael Speckbacher +1
We study the eigenvalue profile of concentration operators (multiplication by an indicator function followed by projection) acting on reproducing kernel Hilbert spaces. The spectra…
Convergence of Hermite expansions in modulation spaces
Philippe Jaming, Michael Speckbacher
The aim of this paper is to give an elementary proof that Hermite expensions of a function in the modulation space converges to in when and…
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-…
Localized frames without inequalities
Peter Balazs, Lukas Köhldorfer, Michael Speckbacher
We consider countable families of vectors in a separable Hilbert space, which are mutually localized with respect to a fixed localized Riesz basis. We prove the equivalence of the…
Localised frames for tensor product spaces
Dimitri Bytchenkoff, Michael Speckbacher, Peter Balazs
In this paper, we investigate whether the tensor product of two frames, each individually localised with respect to a spectral matrix algebra, is also localised with respect to a s…