Work

Infinite totally positive matrices: some open problems

Year: 2026

Type: article

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.

Source: Acta Scientiarum Mathematicarum

DOI: 10.1007/s44146-026-00264-3

Author: Karlheinz Gröchenig

Institution: University of Vienna

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Universität Wien