Schwarz conjugation of a spectral function
= Schwarz conjugation of a spectral function
{c}
{title2=$F^\sharp(k)=\overline{F(\overline k)}$}
This operation reflects a <holomorphic function> across the real axis while preserving holomorphic dependence on the new argument. A transform of real data with real kernel coefficients satisfies $F^\sharp=F$. In a polygonal <global relation>, complex rotation factors are conjugated as well; an explicit prefactor $i$ changes sign.