Bergman kernel: Difference between revisions

One key observation about this picture is that ''L''^2,''h''(''D'') may be identified with the space of L2$L^2$ holomophic $(n,0)$-norms on "D". Since the L2 inner product on this space is manifestly invariant under biholomorphisms of "D", the Bergman kernel and the associated [[Bergman metric]] are therefore automatically invariant under the automorphism group of the domain.