Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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ON THE TRANSFORMATION FORMULA OF THE SLICE BERGMAN KERNELS IN THE QUATERNION VARIABLES

  • Park, Jong-Do (Department of Mathematics and Research Institute for Basic Sciences Kyung Hee University)
  • Received : 2015.09.03
  • Published : 2016.09.30
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Abstract

In complex analysis, the Bergman kernels for two biholomorphically equivalent complex domains satisfy the transformation formula. Recently new Bergman theory of slice regular functions of the quaternion variables has been investigated. In this paper we construct the transformation formula of the slice Bergman kernels under slice biregular functions in the setting of the quaternion variables.

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Acknowledgement

Supported by : National Research Foundation of Korea

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