English

A Generalization of a result of Vemuri

Classical Analysis and ODEs 2023-12-06 v1 Complex Variables

Abstract

Assuming that a function and its Fourier transform are dominated by Gaussians, a sharp estimate for the rate of exponential decay of its Hermite coefficients is obtained in terms of the variances of the dominating Gaussians.

Keywords

Cite

@article{arxiv.2312.02631,
  title  = {A Generalization of a result of Vemuri},
  author = {Manish Chaurasia},
  journal= {arXiv preprint arXiv:2312.02631},
  year   = {2023}
}