@article{10902/36020, year = {2025}, month = {6}, url = {https://hdl.handle.net/10902/36020}, abstract = {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.}, organization = {The first and third authors have been supported by grant PID2020-113887GB-I00 funded by MCIN/AEI/ 10.13039/501100011033. The second author thankfully acknowledges support by the Methusalem grant METH/21/03 long term structural funding of the Flemish Government. The third author has also been supported by grant PRE2021-097772 funded by MCIN/AEI/ 10.13039/501100011033 and by "ESF Investing in your future".}, publisher = {Elsevier}, publisher = {Journal of Approximation Theory, 2025, 308, 106145}, title = {Measure-preserving mappings from the unit cube to some symmetric spaces}, author = {Beltrán Álvarez, Carlos and Ferizovic, Damir and López Gómez, Pedro Ramón}, }