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arXiv · 1912.02035

The polyharmonic Bergman space for the union of rotated unit balls

Hubert Grzebuła
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Abstract

In the paper we consider the polyharmonic Bergman space for the union of the rotated unit Euclidean balls. Using so called zonal polyharmonics we derive the formulas for the kernel of this space. Moreover, we study the weighted polyharmonic Bergman space. By the same argument we get the Bergman kernel for this space.

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Hubert Grzebuła. 2019-12-04. The polyharmonic Bergman space for the union of rotated unit balls. https://arxiv.org/abs/1912.02035

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