Local spectral convergence in $RC{D}^{\ast }(K,N)$ spaces

Abstract

In this note we give necessary and sufficient conditions for the validity of the local spectral convergence, in balls, on the $RC{D}^{\ast }$-setting.

arXiv comment25 pages

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Cited by in corpus (3)

• The behavior of harmonic functions at singular points of $\mathsf{RCD}$ spaces
• On the asymptotic behavior of the dimension of spaces of harmonic functions with polynomial growth
• An almost rigidity Theorem and its applications to noncompact RCD(0,N) spaces with linear volume growth