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m WP:CHECKWIKI error fixes using AWB (10093) |
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:<math>f(z) = \int_D K(z,\zeta)f(\zeta)\,d\mu(\zeta).</math>
One key observation about this picture is that ''L''<sup>2,''h''</sup>(''D'') may be identified with the space of <math>L^2</math> holomophic (n,0)-norms on D, via multiplication by <math>dz^1\wedge \cdots \wedge dz^n</math>. Since the <math>L^2</math> 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.
==See also==
* [[Bergman metric]]
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