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arXiv · 2007.04615

New Function Spaces Associated to Representations of Nilpotent Lie Groups and Generalized Time-Frequency Analysis

Karlheinz Gröchenig
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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 $\mathbb{R}^d $. The concrete realization of the representation suggests that these function spaces are useful for generalized time-frequency analysis or phase-space analysis.

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BibTeXRIS

Karlheinz Gröchenig. 2020-07-09. New Function Spaces Associated to Representations of Nilpotent Lie Groups and Generalized Time-Frequency Analysis. https://arxiv.org/abs/2007.04615

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