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math.CA2020
Gegenbauer kernel filtration on the unit hypersphere
Louis Omenyi, McSylvester Omaba
Filtration of quantifiable objects by smoothing kernels on Riemannian manifolds for visualisation is an ongoing research. However, using common filters created for linear domains o…
math.DG2020
Some domination inequalities for spectral zeta kernels on closed Riemannian manifolds
Louis Omenyi, McSylvester Omaba
We first prove Kato's inequalities for the Laplacian and a Schrdinger-type operator on smooth functions on closed Riemannian manifolds. We then apply the result to establ…