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arXiv · 1904.03527

The Zak transform and representations induced from characters of an abelian subgroup

Joseph W. Iverson
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Abstract

We consider a variant of the Zak transform for a finite group $G$ with respect to a fixed abelian subgroup $H$, and demonstrate a relationship with representations of $G$ induced from characters of $H$. We also show how the Zak transform can be used to study right translations by $H$ in $L^2(G)$, and give some examples of applications for equiangular tight frames.

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Joseph W. Iverson. 2019-04-06. The Zak transform and representations induced from characters of an abelian subgroup. https://arxiv.org/abs/1904.03527

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