Scalar operators never supported complex scaling and the complex scaling of function interpolation is broken since jagot/FEDVRQuasi.jl@7d53702, when support for the new Inclusion machinery was implemented. The nice implementation is probably an extension of Inclusion to the complex plane, and f.(z) means that f is analytical in the region of the complex plane that is spanned by z. Connected with JuliaApproximation/QuasiArrays.jl#13.