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Trace-defect bounds for discrete Fourier concentration operators
Let $Ω\subset\mathbb Z^d$ be finite and let $S\subset\mathbb T^d$ be measurable. We study the discrete Fourier concentration operator \[ T_{Ω,S}=P_ΩB_SP_Ω, \] which describes simultaneous localization to a finite set of spatial indices and a prescribed spectral region. For independent exponents $γ,η
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