Eigenvalue estimates for Fourier concentration operators on two domains
arXiv (Cornell University)(2023)
Abstract
We derive eigenvalue estimates for concentration operators associated with the discrete Fourier transform and two concentration domains satisfying certain regularity conditions. These conditions are met, for example, when the discrete domain, contained in a lattice, is obtained by discretization of a suitably regular domain in the Euclidean space. As a limit, we obtain eigenvalue estimates for Fourier concentration operators associated with two suitably regular domains in the Euclidean space. The proof builds on Israel's work on one dimensional intervals: arXiv:1502.04404v1.
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Key words
fourier concentration operators
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