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Spectral dimensions of Krein-Feller operators in higher dimensions
We study the Dirichlet and Neumann spectral dimensions of Kreĭn-Feller operators associated with finite non-zero Borel measures $ν$ supported in the open $d$-dimensional unit cube, $d\geq2$. The central new ingredient is a monotone dyadic spectral set function $\mathfrak{J}_{ν,a,b}$, whose value on
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