A pseudo-differential calculus on non-standard symplectic space; spectral and regularity results in modulation spaces

Nuno Costa Dias, Maurice de Gosson, Franz Luef +1

The usual Weyl calculus is intimately associated with the choice of the standard symplectic structure on ${\mathbb{R}}^n\oplus {\mathbb{R}}^n$. In this paper we will show that the r…