Abstract
In this paper, we prove pointwise convergence of heat kernels for mGH-convergent sequences of RCD ∗(K, N) -spaces. We obtain as a corollary results on the short-time behavior of the heat kernel in RCD ∗(K, N) -spaces. We use then these results to initiate the study of Weyl’s law in the RCD setting.
Original language | English |
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Pages (from-to) | 97-119 |
Number of pages | 23 |
Journal | Annals of Global Analysis and Geometry |
Volume | 53 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2018 Jan 1 |
Keywords
- RCD spaces
- Spectral analysis
- Weyl’s law
ASJC Scopus subject areas
- Analysis
- Political Science and International Relations
- Geometry and Topology