59 citations · 398 across the 59 of their papers we have counts for
8 papers · 1 filter
Sharp estimates for Schrödinger groups on spaces of homogeneous type
The Anh Bui, Piero D'Ancona, Fabio Nicola
We prove an estimate for the Schrödinger group…
On the symplectic covariance and interferences of time-frequency distributions
Elena Cordero, Maurice de Gosson, Monika Doerfler +1
We study the covariance property of quadratic time-frequency distributions with respect to the action of the extended symplectic group. We show how covariance is related, and in fa…
Semi-classical Time-frequency Analysis and Applications
Elena Cordero, Maurice de Gosson, Fabio Nicola
This work represents a first systematic attempt to create a common ground for semi-classical and time-frequency analysis. These two different areas combined together provide intere…
Sharp integral bounds for Wigner distributions
Elena Cordero, Fabio Nicola
The cross-Wigner distribution of two functions or temperate distributions is a fundamental tool in quantum mechanics and in signal analysis. Usually, in applications…
Born-Jordan Pseudodifferential Operators and the Dirac Correspondence: Beyond the Groenewold-van Hove Theorem
Maurice de Gosson, Fabio Nicola
Quantization procedures play an essential role in microlocal analysis, time-frequency analysis and, of course, in quantum mechanics. Roughly speaking the basic idea, due to Dirac,…
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…