Code
3G067621
Looptijd
01-01-2021 → 31-12-2024
Financiering
Research Foundation - Flanders (FWO)
Promotor
Onderzoeksdisciplines
-
Natural sciences
- Topological groups, Lie groups
- Abstract harmonic analysis
- Functional analysis
- Functions of a complex variable
Trefwoorden
Factorisatiestellingen van type Dixmier-Malliavin
Representaties van Liegroupen op lokaal convexe ruimten
Translatie-invarianten ruimten van gladde functies
Projectomschrijving
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.