Cyclicity in the harmonic Dirichlet space - Archive ouverte HAL Access content directly
Conference Papers Year : 2015

Cyclicity in the harmonic Dirichlet space

Abstract

The harmonic Dirichlet space $\cD(\TT)$ is the Hilbert space of functions $f\in L^2(\TT)$ such that $$ \|f\|_{\cD(\TT)}^2:=\sum_{n\in\ZZ}(1+|n|)|\hat{f}(n)|^2<\infty. $$ We give sufficient conditions for $f$ to be cyclic in $\cD (\TT)$, in other words, for $\{\zeta ^nf(\zeta):\ n\geq 0\}$ to span a dense subspace of $\cD(\TT)$.
Fichier principal
Vignette du fichier
AEKR20160123.pdf (145.85 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01261077 , version 1 (23-01-2016)

Identifiers

Cite

Evgueni Abakumov, Omar El-Fallah, Karim Kellay, Thomas Ransford. Cyclicity in the harmonic Dirichlet space. Conference on Harmonic and Functional, Analysis, Operator Theory and Applications. 1–10, Theta Ser. Adv. Math., 19, Theta, Bucharest, 2017., Jun 2015, Bordeaux, France. ⟨hal-01261077⟩
98 View
41 Download

Altmetric

Share

Gmail Facebook X LinkedIn More