4 papers
A characterization of modulation spaces by symplectic rotations
Elena Cordero, Maurice De Gosson, Fabio Nicola
This note contains a new characterization of modulation spaces , , by symplectic rotations. Precisely, instead to measure the time-frequency…
On the Positivity of Trace Class Operators
Elena Cordero, Maurice de Gosson, Fabio Nicola
The characterization of positivity properties of Weyl operators is a notoriously difficult problem, and not much progress has been made since the pioneering work of Kastler, Loupia…
Born-Jordan Pseudo-Differential Operators with Symbols in the Shubin Classes
Elena Cordero, Maurice de Gosson, Fabio Nicola
We apply Shubin's theory of global symbol classes to the Born-Jordan pseudodifferential calculus we have previously developed. This approach has many conceptual advantage…
A few remarks on time-frequency analysis of Gevrey, analytic and ultra-analytic functions
Elena Cordero, Fabio Nicola, Luigi Rodin
We give a brief survey of recent results concerning almost diagonalization of pseudodifferential operators via Gabor frames. Moreover, we show new connections between symbols with…