Equation cohomologique d'un automorphisme affine hyperbolique du tore

Autor:	Zeggar, Abdellatif
Jazyk:	francouzština
Rok vydání:	2019
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	We study the discrete cohomological equation of a hyperbolic affine automorphism Y of the torus (whose linear part is not necessarily diagonalisable). More precisely ; if d is the cobord operator defined by : d (h) = h-hoY for every element h of the Fr\'echet space E of the differentiable functions on the torus, we show that the image Im(d) is a closed of E and that consequently the space of cohomology H^1(Y; E):=E/Im(d) is a nontrivial Fr\'echet space. We also prove the existence of a continuous linear operator L defined from Im(d) to E such that for every element g of Im(d), the image f = L(g) is a solution of the discrete cohomological equation f-foY = g. Comment: in French
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1902.04849 Zobrazit plný text záznamu View this record from Arxiv