Deep zero problems

Abstract Inspired by the Abel–Goncharov interpolation problem, we consider a collection of uniqueness problems, with related interpolation and sampling issues. We call them deep zero problems, as they are concerned with local properties at a small number of given points.

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Publication Details

Journal
Journal d Analyse Mathématique
Published
2025-07-13
DOI
https://doi.org/10.1007/s11854-025-0376-1
Primary Topic
Advanced Harmonic Analysis Research
Type
article
Field-Weighted Citation Impact
0.00

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article

Deep zero problems

Håakan Hedenmalm
Journal d Analyse Mathématique
Advanced Harmonic Analysis Research
article

Deep zero problems

Håakan Hedenmalm
article en

Abstract

Abstract Inspired by the Abel–Goncharov interpolation problem, we consider a collection of uniqueness problems, with related interpolation and sampling issues. We call them deep zero problems, as they are concerned with local properties at a small number of given points.

Journal d Analyse MathématiqueVol. 156(1)
St Petersburg University (RU), University of Reading (GB), KTH Royal Institute of Technology (SE)
Leverhulme Trust, Kungliga Tekniska Högskolan, Vetenskapsrådet
Openalex Percentile: Top 75%
Advanced Harmonic Analysis Research
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