Decay of coefficients and approximation rates in Gabor Gaussian frames - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 2023

Decay of coefficients and approximation rates in Gabor Gaussian frames

Abstract

The aim of this note is to present a self-contained proof of the fact that a function can be approximated using a linear combination of Gaussian coherent states, with a number of terms controlled in terms of the smoothness and of the decay at infinity of the function. This result can easily be obtained using advanced results on modulation spaces, but the proof presented here is completely elementary and self-contained.
Fichier principal
Vignette du fichier
chaumontfrelet_ingremeau_2023a.pdf (402.16 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03746979 , version 1 (06-08-2022)
hal-03746979 , version 2 (08-08-2022)
hal-03746979 , version 3 (16-03-2023)

Identifiers

  • HAL Id : hal-03746979 , version 3

Cite

Théophile Chaumont-Frelet, Maxime Ingremeau. Decay of coefficients and approximation rates in Gabor Gaussian frames. Inria. 2023. ⟨hal-03746979v3⟩
1201 View
25 Download

Share

Gmail Facebook X LinkedIn More