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math.AP2026
Hypoellipticity on time-periodic space-times
Sandro Coriasco, Perry Kleinhenz, Jared Wunsch
We study the hypoellipticity of operators on a product type Lorentzian manifold where the time variable is periodic. In particular, we prove that hypoellipticity holds for such tim…
math.AP2026
Gelfand-Shilov spaces and operators with ultradifferential weighted symbols on non-compact manifolds
Sandro Coriasco, Pedro Meyer Tokoro
We invariantly define Gelfand-Shilov spaces on classes of non-compact manifolds with a certain ``structure at infinity''. We also construct and study a global calculus of pseudodif…