A major part of this paper is devoted to an in-depth study of j-operators and their properties.
This study enables us to obtain several results on liftings and weak liftings of DG modules …

arXiv:1202.0071v3 [math.AC] 16 Oct 2012 Page 1 arXiv:1202.0071v3 [math.AC] 16 Oct 2012
LIFTINGS AND QUASI-LIFTINGS OF DG MODULES SAEED NASSEH AND SEAN …

In a previous paper with Kashyap we generalized the theory of $ W^* $-modules to the
setting of modules over nonselfadjoint dual operator algebras, obtaining the class of weak …

The aim of these Notes is to introduce the reader to the theory of D-modules in the analytical
setting. This text is a short introduction, not a systematic study. In particular many proofs are …

Let $\mathbb {D}^ n $ be the open unit polydisc in $\mathbb {C}^ n $, $ n\geq 1$, and let $
H^ 2 (\mathbb {D}^ n) $ be the Hardy space over $\mathbb {D}^ n $. For $ n\ge 3$, we show …

Given any shift-invariant closed subspace $\mathcal {S} $(aka submodule) of the Hardy
space over the unit polydisc $ H^ 2 (\mathbb {D}^ n) $(where $ n\geq 2$), let $ R_ {z_j}:= M …

The course will be devoted to an introduction to D-module theory and some of its
connections with invariants of singularities. After a discussion of the sheaf of differential …

Let R be a ring. Let SSE-R be the equivalence relation on square matrices (allowed to have
different size) over R generated by A~ B if there exist matrices U, V over R such that A= UV …

This is a survey paper based on a series of lectures given at the IHES in February/March
2015. In a first part, we recall the main results on the tempered holomorphic solutions of D …