For d-dimensional Cartesian discrete prolate matrices, the number of eigenvalues above a threshold ε is approximately (2MW)^d with an explicit error bound B_d(MW, ε).
Time-Frequency Localization Operators: A Geometric Phase Space Approach
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Eigenvalue distribution analysis of multidimensional prolate matrices
For d-dimensional Cartesian discrete prolate matrices, the number of eigenvalues above a threshold ε is approximately (2MW)^d with an explicit error bound B_d(MW, ε).