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arXiv · 2502.13860

A Unifying Framework for Complex-Valued Eigenfunctions via The Cartan Embedding

Sigmundur Gudmundsson·Adam Lindström
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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.

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Sigmundur Gudmundsson, Adam Lindström. 2025-02-19. A Unifying Framework for Complex-Valued Eigenfunctions via The Cartan Embedding. https://arxiv.org/abs/2502.13860

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