The kaehlerian structures and reproducing kernels

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Department of Mathematics, Technical University of Radom, Malczewskiego 29, 26-600 Radom, Poland

It is shown that one can define a Hilbert space structure over a kaehlerian manifold with global potential in a natural way.

kaehlerian manifold, kaehlerian potential, positive definite function, Bergman function, reproducing kernel

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