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math.FA2017
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…
math.FA2017
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…
math.FA2016
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…