138 citations · 270 across the 15 of their papers we have counts for
Showing 2015Show all
3 papers · 1 filter
math.AP2015★ 11 cited
The norm of the non-self-adjoint harmonic oscillator semigroup
Joe Viola
We identify the norm of the semigroup generated by the non-self-adjoint harmonic oscillator acting on , for all complex times where it is bounded. We relate this prob…
math.AP2015
From semigroups to subelliptic estimates for quadratic operators
Michael Hitrik, Karel Pravda-Starov, Joe Viola
Using an approach based on the techniques of FBI transforms, we give a new simple proof of the global subelliptic estimates for non-selfadjoint non-elliptic quadratic differential…
math.AP2015
Short-time asymptotics of the regularizing effect for semigroups generated by quadratic operators
Michael Hitrik, Karel Pravda-Starov, Joe Viola
We study accretive quadratic operators with zero singular spaces. These degenerate non-selfadjoint differential operators are known to be hypoelliptic and to generate contraction s…