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Plunge bounds for Fourier concentration operators: geometry, smoothing, and wave packets

Azimifard, Ahmadreza
arXiv (All) · Papers
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functional-analysismathematical-physicsspectral-theory
We prove a single-logarithm bound for the eigenvalues in the plunge region of Fourier concentration operators, removing the extra logarithmic factor in the Kulikov--Dam Larsen bound for two general admissible sets throughout each fixed exponential window. For bounded spatial and frequency sets $A,B\
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