Sheehan Olver
Sheehan Olver
I think the +- operators make it a bit difficult. But I guess we could have the relationship: Hilbert(f,k) = (Hilbert(+,f,k) + Hilbert(-,f,k))/2 In the special case of log kernel...
Can you try `dom = ∪(Segment.(crl,crr)...)`?
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)...
Did you follow the instructions and call ` resolve ` ?
Something like ` H[L_k^1/2 sqrt(x)exp(-x)] = L_k^-1/2 ` should be true. Cauchy transform would just follow from Olver's algorithm and first moment.
` H[L_k exp(-x)] ` has the same annoying logarithmic singularities as `H[P_k]` that make it not a nice basis. Note that any other Jacobi singularities do not have this annoying...
Good point
@MikaelSlevinsky I think the current implementation of `Hilbert(Circle(),2)` is wrong, as it should be equivalent to `Derivative()*Hilbert(Circle())`. Any objections to ```julia Hilbert{DD
We can just add the line: if OS_NAME == :Darwin && Pkg.isinstalled(“AppleAccelerate”) using AppleAccelerate @replaceBase(sqrt) end to replace all usages. > On 24 Sep 2015, at 7:49 am, Richard Mikael...