Category:Singular integrals

In mathematics, singular integrals are central to abstract harmonic analysis and are intimately connected with the study of partial differential equations. Broadly speaking a singular integral is an integral operator


 * $$T(f)(x) = \int K(x,y)f(y) \, dy, $$

whose kernel function K : Rn&times;Rn &rarr; Rn is singular along the diagonal x=y.