The mathematical analysis of Schrödinger operators centres on the rigorous study of the differential operator H=−Δ+V acting on functions over Euclidean space or more general manifolds. Spectral theory ...

In mathematical analysis, inequalities and integral operators form a foundational nexus for quantifying the behaviour of functions, operators and their interrelations across diverse contexts.

In operator algebras we are particularly interested in $\mathsf{C}^*$-algebra theory and its connections to other areas such as dynamical systems, group theory, topology, non-commutative geometry, and ...