Building on the abstract notion of prolongation developed in [10], the theory of iterative Hasse-Schmidt rings and schemes is introduced, simultaneously generalising difference and (Hasse-Schmidt) differential rings and schemes. This work provides a unified formalism for studying difference and differential algebraic geometry, as well as other related geometries. As an application, Hasse-Schmid...

Abstract. Building on the abstract notion of prolongation developed in [7], the theory of iterative Hasse rings and schemes is introduced, simultaneously generalising difference and (Hasse-)differential rings and schemes. This work provides a unified formalism for studying difference and differential algebraic geometry, as well as other related geometries. As an application, Hasse jet spaces ar...

Abstract We deduce continuity properties for pseudo-differential operators with symbols in quasi-Banach Orlicz modulation spaces when rely on other spaces. In particular we extend some earlier results.