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- Title
On polyharmonic polynomials.
- Authors
Grzebuła, H.; Michalik, S.
- Abstract
We study the orthogonal projection of homogeneous polynomials onto the space of homogeneous polyharmonic polynomials. To do this we derive the decomposition of homogeneous polynomials in terms of the Kelvin transform of derivatives of the fundamental solution | x | 2 - n or log | x | . We consider also the vector bases of the space of homogeneous polyharmonic polynomials and study the problem of convergence of orthogonal series.
- Subjects
HOMOGENEOUS polynomials; HOMOGENEOUS spaces; POLYNOMIALS; VECTOR spaces; ORTHOGRAPHIC projection
- Publication
Acta Mathematica Hungarica, 2023, Vol 169, Issue 2, p325
- ISSN
0236-5294
- Publication type
Academic Journal
- DOI
10.1007/s10474-023-01323-9