Measure-preserving mappings from the unit cube to some symmetric spaces
We construct measure-preserving mappings from the d -dimensional unit cube to the d -dimensional unit ball and the compact rank one symmetric spaces, namely the d -dimensional sphere, the real, complex, and quaternionic projective spaces, and the Cayley plane. We also give a procedure to generate measure-preserving mappings from the d -dimensional unit cube to product spaces and fiber bundles under certain conditions.
Authors
- Pedro R. López-Gómez (ORCID: https://orcid.org/0000-0003-2094-1126)
- Damir Ferizović (ORCID: https://orcid.org/0000-0002-8147-4691)
- Carlos Beltrán (ORCID: https://orcid.org/0000-0002-0689-8232)
Institutions
- Universidad de Cantabria (ES)
- KU Leuven (BE)
Publication Details
- Journal
- Journal of Approximation Theory
- Published
- 2025-02-07
- DOI
- https://doi.org/10.1016/j.jat.2025.106145
- Citations
- 2
- Primary Topic
- Mathematical Approximation and Integration
- Type
- article
- Field-Weighted Citation Impact
- 5.26
Funders
- Vlaamse Overheid
- Agencia Estatal de Investigación
- European Social Fund