Uncertainty Principles for Kac Algebras
Operator Algebras
2017-06-07 v1 Functional Analysis
Quantum Algebra
Abstract
In this paper, we introduce the notation of bi-shift of biprojections in subfactor theory to unimodular Kac algebras. We characterize the minimizers of Hirschman-Beckner uncertainty principle and Donoho-Stark uncertainty principle for unimodular Kac algebras with biprojections and prove Hardy's uncertainty principle in terms of minimizers.
Keywords
Cite
@article{arxiv.1606.00051,
title = {Uncertainty Principles for Kac Algebras},
author = {Zhengwei Liu and Jinsong Wu},
journal= {arXiv preprint arXiv:1606.00051},
year = {2017}
}
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15 pages