Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ALGEBRAIC KERNEL FUNCTIONS AND REPRESENTATION OF PLANAR DOMAINS

  • Published : 2003.05.06
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Abstract

In this paper we study the non-degenerate n-connected canonical domains with n>1 related to the conjecture of S. Bell in [4]. They are connected to the algebraic property of the Bergman kernel and the Szego kernel. We characterize the non-degenerate doubly connected canonical domains.

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References

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  2. The coefficient body of Bell representations of finitely connected planar domains vol.295, pp.2, 2004, https://doi.org/10.1016/j.jmaa.2004.03.043