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Pitt Inequalities and Logarithmic-type Uncertainty Principles for Metaplectic Operators

Giacchi, Gianluca et al.
arXiv (All) · Papers
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analysis-of-pdesclassical-analysis-and-odes
In this work, we provide a complete characterisation of Pitt's inequality for metaplectic operators. The symplectic geometry underlying a metaplectic operator distinguishes effective directions, along which its action is Fourier-type, from singular directions, along which concentration is preserved.
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