Cyclicity in the harmonic Dirichlet space
Idioma
en
Communication dans un congrès
Este ítem está publicado en
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.
Resumen en inglés
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 ...Leer más >
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 $\cD(\TT)$.< Leer menos
Palabras clave en inglés
cyclic vectors
capacity
Harmonic Dirichlet space
Orígen
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