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Abstract: In this paper, Heisenberg-Pauli-Weyl-type uncertainty inequalities areobtained for a pair of positive-self adjoint operators on a Hilbert space,whose spectral projectors satisfy a ``balance condition- involving certainoperator norms. This result is then applied to obtain uncertainty inequalitieson Riemannian manifolds, Riemannian symmetric spaces of non-compact type,homogeneous graphs and unimodular Lie groups with sublaplacians.



Autor: Alessio Martini

Fuente: https://arxiv.org/



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