Stieltjes transform

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:transformation
gptkbp:category gptkb:integral
gptkbp:defines S(z) = ∫ (1/(z-x)) dμ(x), where μ is a measure and z is a complex number not in the support of μ
gptkbp:designer inverse Stieltjes transform
gptkbp:field gptkb:mathematics
gptkb:probability_theory
complex analysis
functional analysis
https://www.w3.org/2000/01/rdf-schema#label Stieltjes transform
gptkbp:namedAfter gptkb:Thomas_Joannes_Stieltjes
gptkbp:relatedTo gptkb:Laplace_transform
gptkb:Hilbert_transform
moment problem
gptkbp:usedFor random matrix theory
spectral theory
solving moment problems
gptkbp:bfsParent gptkb:Thomas_Stieltjes
gptkbp:bfsLayer 7