TL;DR
This paper introduces deep zero problems, a new class of mathematical issues involving local properties at specific points, with implications for sampling and interpolation in complex analysis.
Contribution
It defines and explores a novel set of uniqueness problems called deep zero problems, focusing on local properties at a few points.
Findings
New collection of uniqueness problems introduced
Connections to sampling and interpolation issues established
Framework for analyzing local properties at specific points
Abstract
We introduce a novel collection of uniqueness problems, with related sampling and interpolation 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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Taxonomy
TopicsMathematical Analysis and Transform Methods · advanced mathematical theories · Numerical methods in inverse problems