Optimal expansions of Kakeya sequences
Abstract We investigate optimal expansions of Kakeya sequences for the representation of real numbers. Expansions of Kakeya sequences generalize the expansions in non-integer bases and they display analogous redundancy phenomena. In this paper, we characterize optimal expansions of Kakeya sequences, and we provide conditions for the existence of unique expansions with respect to Kakeya sequences.
Authors
- Pierpaolo Loreti (ORCID: https://orcid.org/0000-0002-2348-5077)
- Anna Chiara Lai (ORCID: https://orcid.org/0000-0003-2096-6753)
Institutions
- Sapienza University of Rome (IT)
Publication Details
- Journal
- Acta Mathematica Academiae Scientiarum Hungaricae
- Published
- 2024-09-23
- DOI
- https://doi.org/10.1007/s10474-024-01453-8
- Primary Topic
- Advanced Harmonic Analysis Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00