Infinite totally positive matrices: some open problems
Abstract How can the variation-diminishing property and the invertibility conditions of totally positive matrices be extended to infinite totally positive matrices? These questions arise in the context of sampling theory and time-frequency analysis. We discuss these open problems and provide some context and some hints.
Authors
- Karlheinz Gröchenig (ORCID: https://orcid.org/0000-0003-1461-0654)
Institutions
- University of Vienna (AT)
Publication Details
- Journal
- Acta Scientiarum Mathematicarum
- Published
- 2026-08-17
- DOI
- https://doi.org/10.1007/s44146-026-00264-3
- Primary Topic
- Mathematical Analysis and Transform Methods
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Universität Wien