Riesz potential

GPTKB entity

Statements (22)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application gptkb:Sobolev_spaces
Fourier analysis
mathematical physics
partial differential equations
gptkbp:defines I_α f(x) = c_{n,α} ∫_{R^n} f(y) / |x-y|^{n-α} dy
gptkbp:domain gptkb:Euclidean_space
gptkbp:field gptkb:mathematics
potential theory
gptkbp:generalizes gptkb:Newtonian_potential
gptkb:Coulomb_potential
https://www.w3.org/2000/01/rdf-schema#label Riesz potential
gptkbp:introducedIn 20th century
gptkbp:namedAfter gptkb:Marcel_Riesz
gptkbp:parameter α (order of potential)
gptkbp:relatedTo harmonic analysis
fractional integration
singular integral
gptkbp:bfsParent gptkb:Frigyes_Riesz
gptkb:Marcell_Riesz
gptkb:Marcel_Riesz
gptkbp:bfsLayer 5