freealg.FreeForm.hilbert#

FreeForm.hilbert(x=None, rho=None, plot=False, latex=False, save=False)#

Compute Hilbert transform of the spectral density.

Parameters:

xnumpy.array, default=None: The locations where Hilbert transform is evaluated at. If None, an interval slightly larger than the support interval of the spectral density is used.
rhonumpy.array, default=None: Density. If None, it will be computed.
plotbool, default=False: If True, density is plotted.
latexbool, default=False: If True, the plot is rendered using LaTeX. This option is relevant only if plot=True.
savebool, default=False: If not False, the plot is saved. If a string is given, it is assumed to the save filename (with the file extension). This option is relevant only if plot=True.

Returns: