A Unifying Framework for Complex-Valued Eigenfunctions via The Cartan Embedding
Differential Geometry
2025-02-20 v1
Abstract
In this work we find a unifying scheme for the known explicit complex-valued eigenfunctions on the classical compact Riemannian symmetric spaces. For this we employ the well-known Cartan embedding for those spaces. This also leads to the construction of new eigenfunctions on the quaternionic Grassmannians.
Cite
@article{arxiv.2502.13860,
title = {A Unifying Framework for Complex-Valued Eigenfunctions via The Cartan Embedding},
author = {Sigmundur Gudmundsson and Adam Lindström},
journal= {arXiv preprint arXiv:2502.13860},
year = {2025}
}