Cyclicity in the harmonic Dirichlet space
Language
en
Communication dans un congrès
This item was published in
Theta Series in Advanced Mathematics., Theta Series in Advanced Mathematics., Conference on Harmonic and Functional, Analysis, Operator Theory and Applications. 1–10, Theta Ser. Adv. Math., 19, Theta, Bucharest, 2017., 2015-06-04, Bordeaux.
English 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 ...Read more >
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 $\cD(\TT)$.Read less <
English Keywords
cyclic vectors
capacity
Harmonic Dirichlet space
Origin
Hal imported