Fourier uniqueness sets and the Klein-Gordon equation
Analysis of PDEs
2011-06-16 v1 Classical Analysis and ODEs
Functional Analysis
Abstract
We generalize the study of Heisenberg uniqueness pairs considered in earlier work with Alfonso Montes-Rodriguez. We also find the critical density in the case of one branch of the hyperbola. In the critical case there is non-uniqueness for a one-dimensional space of solutions. These solutions cannot vanish at any other point of the axes of the characteristic lattice-cross, due to an unexpected connection with the Nielsen spiral.
Cite
@article{arxiv.1106.2985,
title = {Fourier uniqueness sets and the Klein-Gordon equation},
author = {Haakan Hedenmalm},
journal= {arXiv preprint arXiv:1106.2985},
year = {2011}
}
Comments
18 pages