A note on discrete Heisenberg uniqueness pairs for the parabola
Felipe Gon\c{c}alves, Jo\~ao P. G. Ramos
TL;DR
This paper explores the concept of Heisenberg uniqueness pairs for the parabola, focusing on discrete sequences along lines and connecting the problem with recent Fourier transform uniqueness results.
Contribution
It introduces a novel approach linking discrete Heisenberg uniqueness pairs for the parabola to recent Fourier transform uniqueness theorems.
Findings
Established conditions for Heisenberg uniqueness pairs on the parabola.
Linked discrete uniqueness problems with Fourier transform results.
Provided new insights into the structure of uniqueness pairs for specific geometric sets.
Abstract
We discuss on Heisenberg uniqueness pairs for the parabola given by discrete sequences along straight lines. Our method consists in linking the problem at hand with recent uniqueness results for the Fourier transform.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Advanced Differential Geometry Research · Numerical methods in inverse problems