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Spectral distances on RCD spaces (2303.11136v3)
Published 20 Mar 2023 in math.DG and math.MG
Abstract: We provide relationships between the spectral convergences in B\'erard-Besson-Gallot sense, in Kasue-Kumura sense and the measured Gromov-Hausdorff convergence, for compact finite dimensional RCD spaces. As an independent interest, a canonical (spectral) approximation map between such spaces constructed by given spectral data is obtained.
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