In mathematics, singular integral operators on closed curves arise in problems in analysis, in particular complex analysis and harmonic analysis. The two...

T^{t}(b_{2}),} is in BMO, where Tt is the transpose operator of T. Singular integral operators on closed curves Stein, Elias (1993). "Harmonic Analysis". Princeton...

second order, and third order; and singular and regular integral equations. These distinctions usually rest on some fundamental property such as the...

}}{\Big )}} Singular integral operators on closed curves (account of the Sokhotski–Plemelj theorem for the unit circle and a closed Jordan curve) Kramers–Kronig...

that is, a function F such that F′ = f on the interval. Provided the integrand and integral have no singularities on the path of integration, by the fundamental...

integral theorem, one can show that the integral over C (or the closed rectifiable curve) is equal to the same integral taken over an arbitrarily small circle...

the curve decreases as the curve converges to a circular shape, before collapsing to a singularity. If two disjoint simple smooth closed curves evolve...

that the plane curve Y 2 = X 3 {\displaystyle Y^{2}=X^{3}} has a singularity at the origin. Another domain that is not integrally closed is A = Z [ 5 ]...

resolution of the constant sheaf R M {\displaystyle \mathbb {R} _{M}} on M. The singular cohomology of a contractible space vanishes in positive degree, but...

include the closed convex curves (the boundaries of bounded convex sets), the smooth curves that are convex, and the strictly convex curves, which have...