New Function Spaces Associated to Representations of Nilpotent Lie Groups and Generalized Time-Frequency Analysis
Functional Analysis
2023-04-18 v1
Abstract
We study function spaces that are related to square-integrable, irreducible, unitary representations of several low-dimensional nilpotent Lie groups. These are new examples of coorbit theory and yield new families of function spaces on . The concrete realization of the representation suggests that these function spaces are useful for generalized time-frequency analysis or phase-space analysis.
Cite
@article{arxiv.2007.04615,
title = {New Function Spaces Associated to Representations of Nilpotent Lie Groups and Generalized Time-Frequency Analysis},
author = {Karlheinz Gröchenig},
journal= {arXiv preprint arXiv:2007.04615},
year = {2023}
}