3 papers
math.SP2026
Spectral convergence of empirical integral operators with discontinuous kernels
Manuel Dias
We study the spectral behavior as the sample size of integral operators defined by convolution of a non-negative symmetric kernel k with respect to empirical measur…
math.AP2024
Spectral properties of symmetrized AMV operators
Manuel Dias, David Tewodrose
The symmetrized Asymptotic Mean Value Laplacian , obtained as limit of approximating operators , is an extension of the classical Euclidean Laplace operator to…
math.AP2024
A note on the maximization of the first Dirichlet eigenvalue for perforated planar domains
Manuel Dias
In this work we prove that given an open bounded set with a boundary, there exists small enough such that for all the maximum of…