Fourier interpolation on the real line
Number Theory
2020-02-17 v2 Functional Analysis
Abstract
We use weakly holomorphic modular forms for the Hecke theta group to construct an explicit interpolation formula for Schwartz functions on the real line. The formula expresses the value of a function at any given point in terms of the values of the function and its Fourier transform on the set .
Cite
@article{arxiv.1701.00265,
title = {Fourier interpolation on the real line},
author = {Danylo Radchenko and Maryna Viazovska},
journal= {arXiv preprint arXiv:1701.00265},
year = {2020}
}