Project

Factorization theorems for smooth vectors of Lie group representations

Code

3G067621

Duration

01 January 2021 → 31 December 2024

Funding

Research Foundation - Flanders (FWO)

Promotor

Jasson Vindas Diaz

Research disciplines

Natural sciences
- Topological groups, Lie groups
- Abstract harmonic analysis
- Functional analysis
- Functions of a complex variable

Keywords

Dixmier-Malliavin type factorization theorems Representations of Lie groups on locally convex spaces Translation-invarant spaces of smooth functions

Project description

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.