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

Gudmundsson, Sigmundur LU orcid and Lindström, Adam (2025) In Journal of Geometric Analysis 35.
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
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Symmetric spaces, Complex-valued eigenfunctions, Cartan embedding
in
Journal of Geometric Analysis
volume
35
article number
251
pages
19 pages
publisher
Springer
external identifiers
  • pmid:40635872
  • scopus:105010219552
ISSN
1559-002X
DOI
10.1007/s12220-025-02090-5
language
English
LU publication?
yes
id
95d46d58-aba1-4be1-b2d8-0a5e9a7ddbfd
date added to LUP
2025-09-02 20:39:17
date last changed
2025-10-14 09:26:24
@article{95d46d58-aba1-4be1-b2d8-0a5e9a7ddbfd,
  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}},
  author       = {{Gudmundsson, Sigmundur and Lindström, Adam}},
  issn         = {{1559-002X}},
  keywords     = {{Symmetric spaces; Complex-valued eigenfunctions; Cartan embedding}},
  language     = {{eng}},
  month        = {{07}},
  publisher    = {{Springer}},
  series       = {{Journal of Geometric Analysis}},
  title        = {{A Unifying Framework for Complex-Valued Eigenfunctions via The Cartan Embedding}},
  url          = {{http://dx.doi.org/10.1007/s12220-025-02090-5}},
  doi          = {{10.1007/s12220-025-02090-5}},
  volume       = {{35}},
  year         = {{2025}},
}