The Uncertainty Principle for Gelfand Pairs


We extend the classical Uncertainty Principle to the context of Gelfand pairs. The Gelfand pair setting includes riemannian symmetric spaces, compact topological groups, and locally compact abelian groups. If the locally compact abelian group is Rn we recover a sharp form of the classical Heisenberg uncertainty principle. Section

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@inproceedings{Wolf2013TheUP, title={The Uncertainty Principle for Gelfand Pairs}, author={Joseph Wolf}, year={2013} }