English

Explicit multidimensional Ingham--Beurling type estimates

Classical Analysis and ODEs 2008-12-01 v2

Abstract

Recently a new proof was given for Beurling's Ingham type theorem on one-dimensional nonharmonic Fourier series, providing explicit constants. We improve this result by applying a short elementary method instead of the previous complex analytical approach. Our proof equally works in the multidimensional case.

Keywords

Cite

@article{arxiv.0808.2255,
  title  = {Explicit multidimensional Ingham--Beurling type estimates},
  author = {Vilmos Komornik},
  journal= {arXiv preprint arXiv:0808.2255},
  year   = {2008}
}

Comments

8 pages

R2 v1 2026-06-21T11:11:01.982Z