The polyharmonic Bergman space for the union of rotated unit balls
Complex Variables
2019-12-05 v1 Classical Analysis and ODEs
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.
Keywords
Cite
@article{arxiv.1912.02035,
title = {The polyharmonic Bergman space for the union of rotated unit balls},
author = {Hubert Grzebuła},
journal= {arXiv preprint arXiv:1912.02035},
year = {2019}
}