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JuliaApproximation / SingularIntegralEquations.jl

Julia package for solving singular integral equations
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Clean up Hilbert v SingularIntegral #108

Open dlfivefifty opened 6 years ago

dlfivefifty commented 6 years ago

SingularIntegral(S,0) is really different than SingularIntegral(S,1): it's real valued, is not (x-z)^0, etc.

I think LogKernel and SingularIntegral should be different types.

dlfivefifty commented 5 years ago

I changed my mind on this but we should flip the sign of Hilbert: this would make it consistent with https://en.wikipedia.org/wiki/Hilbert_transform and the derivative of the log kernel. So

SingularIntegral(k) === Derivative()^k * SingularIntegral(0)