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Bergman Kernel

A Bergman kernel is a function of a Complex Variable with the ``reproducing kernel'' property defined for any Domain in which there exist Nonzero Analytic Functions of class $L_2(D)$ with respect to the Lebesgue Measure $dV$.


Hazewinkel, M. (Managing Ed.). Encyclopaedia of Mathematics: An Updated and Annotated Translation of the Soviet ``Mathematical Encyclopaedia.'' Dordrecht, Netherlands: Reidel, pp. 356-357, 1988.

© 1996-9 Eric W. Weisstein