English

A New Spherical Harmonics on the Heisenberg Group

Representation Theory 2025-08-13 v1

Abstract

Let \hn\h_n be the (2n+1)(2n+1)-dimensional Heisenberg group. and let Lα{\cal L}_\alpha be the sublaplacian of the Lie algebra of \hn\h_n A new spherical harmonics with its orthogonal polynomial properties is presented for the group.

Keywords

Cite

@article{arxiv.2508.08619,
  title  = {A New Spherical Harmonics on the Heisenberg Group},
  author = {M. E. Egwe},
  journal= {arXiv preprint arXiv:2508.08619},
  year   = {2025}
}