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We consider a “convolution mm-Laplacian” operator on metric-measure spaces and study its spectral properties. The definition is based on averaging over small metric balls. For reasonably nice metric-measure spaces we… Click to show full abstract
We consider a “convolution mm-Laplacian” operator on metric-measure spaces and study its spectral properties. The definition is based on averaging over small metric balls. For reasonably nice metric-measure spaces we prove stability of convolution Laplacian’s spectrum with respect to metric-measure perturbations and obtain Weyl-type estimates on the number of eigenvalues.
Keywords:
stability metric;
measure laplacians;
measure;
metric measure;
spectral stability
Journal Title: Israel Journal of Mathematics
Year Published: 2019
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Journal Title: Israel Journal of Mathematics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!