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On the transformation of bergman kernels
Complex Variables, Theory and Application: An International Journal, 1985This paper deals with the transformation of Bergman kernels. If we associate to a formally-hyperbolic differential equation another one of the same type by a differential operator we can declare in which way the Bergman kernels are transformed. Further-more. conditions are determined, so that the Bergman kernel of the first kind of the initial equation
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2011
The subject of this chapter is a remarkable construction developed by Stefan Bergman that produces an explicit, smooth, automorphism-invariant Hermitian metric on each bounded domain in \(\mathbb{C}{^n}\).
Robert E. Greene +2 more
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The subject of this chapter is a remarkable construction developed by Stefan Bergman that produces an explicit, smooth, automorphism-invariant Hermitian metric on each bounded domain in \(\mathbb{C}{^n}\).
Robert E. Greene +2 more
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Associated differential equations and their bergman kernels
Complex Variables, Theory and Application: An International Journal, 1983To each formally-hyperbolic differential equation one can associate a differential equation of the same type by means of a suitable differential operator S of first order. A necessary and sufficient condition for such an operator is derived. For special cases an explicit characterisation of S is possible. Finally we obtain a construction method for the
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