01 January 2021 → 31 December 2024
Research Foundation - Flanders (FWO)
- Topological groups, Lie groups
- Abstract harmonic analysis
- Functional analysis
- Functions of a complex variable
Dixmier-Malliavin type factorization theorems Representations of Lie groups on locally convex spaces Translation-invarant spaces of smooth functions
The goal of this project is to make significant progress in factorization theory for smooth vectors of large classes of representations of real Lie groups on locally convex spaces. Our chief aim is to settle a number of conjectures in the area by showing strong Dixmier-Malliavin type theorems for smooth and analytic vectors.