Uniform Eigenvalue Estimates for Time‐Frequency Localization Operators

By F. Mari, Hans G. Feichtinger, K. Nowak. 2002

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The Faber–Krahn inequality for the short-time Fourier transform (2021, background): “Indeed, the analysis of the spectrum of V∗1 V was initiated in the seminal paper [18] for radially symmetric , in which case the operator is diagonal in the basis of Hermite functions –and conversely [1] if an Hermite function is an eigenfunction and is simply connected then is a ball centered at 0–”