Spectrum of a linear differential equation with constant coefficients - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2018

Spectrum of a linear differential equation with constant coefficients

Tinhinane Amina Azzouz

Résumé

In this paper we compute the spectrum, in the sense of Berkovich, of an ultrametric linear differential equation with constant coefficients, defined over an affinoid domain of the analytic affine line $A_k^{1,an}$. We show that it is a finite union of either closed disks or topological closures of open disks and that it satisfies a continuity property.
Fichier principal
Vignette du fichier
DiffConst.pdf (430.25 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01715463 , version 1 (22-02-2018)

Identifiants

Citer

Tinhinane Amina Azzouz. Spectrum of a linear differential equation with constant coefficients. 2018. ⟨hal-01715463⟩

Collections

UGA CNRS FOURIER
231 Consultations
69 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More