English

A fundamental theorem of algebra for sums of exponentials

Classical Analysis and ODEs 2023-12-27 v1

Abstract

Determination of linear combination of exponential functions with unknown rate constants from its sampled values is a problem of considerable interest. Here we present a constructive and explicit solution to this problem. Moments of such linear combinations appear in this construction.

Keywords

Cite

@article{arxiv.2312.15543,
  title  = {A fundamental theorem of algebra for sums of exponentials},
  author = {Pierce Ellingson and Farhad Jafari},
  journal= {arXiv preprint arXiv:2312.15543},
  year   = {2023}
}