Results 81 to 90 of about 8,080 (219)

Topology-controlled Laplace–Beltrami operator on point clouds based on persistent homology

open access: yesGraphical Models
Computing the Laplace–Beltrami operator on point clouds is essential for tasks such as smoothing and shape analysis. Unlike meshes, determining the Laplace–Beltrami operator on point clouds requires establishing neighbors for each point.
Ao Zhang   +3 more
doaj   +1 more source

On the Laplace-Type Transform and Its Applications

open access: yesAxioms
Using the Laplace transform and the Gamma function, we obtain the Laplace-type transform, with the property of mapping a function to a functional sequence, which cannot be realized by the Laplace transform. In addition, we construct a backward difference
Slobodan B. Tričković   +1 more
doaj   +1 more source

On the projections of Laplacians under Riemannian submersions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
We give a condition on Riemannian submersions from a Riemannian manifold M to a Riemannian manifold N which will ensure that it induces a differential operator on N from the Laplace-Beltrami operator on M.
Huiling Le
doaj   +1 more source

Bohr phenomena for Laplace-Beltrami operators

open access: yesIndagationes Mathematicae, 2006
AbstractWe investigate a Bohr phenomenon on the spaces of solutions of weighted Laplace-Beltrami operators associated with the hyperbolic metric of the unit ball in ℂN. These solutions do not satisfy the usual maximum principle, and the spaces have natural bases none of whose members is a constant function.
openaire   +5 more sources

Zeroing Operators for Differential Initial Values Applied to Fractional Operators in the Self-Congruent Physical Space

open access: yesFractal and Fractional
Non-zero differential initial values hinder the application of fractional operator theory in practical systems. This paper proposes a differential initial values zeroing method, decomposing functions with non-zero differential initial values into a ...
Gang Peng   +5 more
doaj   +1 more source

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