higher-dimensional Poisson kernel

GPTKB entity

Statements (17)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo unit ball in n-dimensional Euclidean space
upper half-space
gptkbp:field gptkb:mathematics
harmonic analysis
potential theory
gptkbp:formula_involves dimension n
distance from boundary
gptkbp:generalizes gptkb:Poisson_kernel
https://www.w3.org/2000/01/rdf-schema#label higher-dimensional Poisson kernel
gptkbp:namedAfter gptkb:Siméon_Denis_Poisson
gptkbp:provides integral representation of harmonic functions
gptkbp:relatedTo gptkb:Laplace_equation
harmonic functions
gptkbp:usedFor solving Dirichlet problem
gptkbp:bfsParent gptkb:Poisson_kernel
gptkbp:bfsLayer 7