6 citations · 6 across the 1 of their papers we have counts for
3 papers
math.CA2022★ 6 cited
On polyharmonic polynomials
Hubert Grzebuła, Sławomir Michalik
We study the orthogonal projection of homogeneous polynomials onto the space of homogeneous polyharmonic polynomials. To do this we derive the decomposition of homogeneous polynomi…
math.CV2019
The polyharmonic Bergman space for the union of rotated unit balls
Hubert Grzebuła
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…
math.AP2017
Spherical polyharmonics and Poisson kernels for polyharmonic functions
Hubert Grzebuła, Sławomir Michalik
We introduce and develop the notion of spherical polyharmonics, which are a natural generalisation of spherical harmonics. In particular we study the theory of zonal polyharmonics,…