Mostrar el registro sencillo del ítem

Cyclicity in weighted $\ell^p$ spaces

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorLE MANACH, Florian
dc.date.accessioned2024-04-04T03:10:48Z
dc.date.available2024-04-04T03:10:48Z
dc.date.created2017-03-06
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193716
dc.description.abstractEnWe study the cyclicity in weighted $\ell^p(\mathbb{Z})$ spaces. For $p \geq 1$ and $\beta \geq 0$, let $\ell^p_\beta(\mathbb{Z})$ be the space of sequences $u=(u_n)_{n\in \mathbb{Z}}$ such that $(u_n |n|^{\beta})\in \ell^p(\mathbb{Z}) $. We obtain both necessary conditions and sufficient conditions for $u$ to be cyclic in $\ell^p_\beta(\mathbb{Z})$, in other words, for $ \{(u_{n+k})_{n \in \mathbb{Z}},~ k \in \mathbb{Z} \}$ to span a dense subspace of $\ell^p_\beta(\mathbb{Z})$. The conditions are given in terms of the Hausdorff dimension and the capacity of the zero set of the Fourier transform of $u$.
dc.language.isoen
dc.subject.encyclicity
dc.subject.enweighted $\ell^p$ spaces
dc.subject.encapacity
dc.title.enCyclicity in weighted $\ell^p$ spaces
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Analyse fonctionnelle [math.FA]
dc.subject.halMathématiques [math]/Analyse classique [math.CA]
dc.identifier.arxiv1703.02841
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-01483933
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01483933v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=LE%20MANACH,%20Florian&rft.genre=preprint


Archivos en el ítem

ArchivosTamañoFormatoVer

No hay archivos asociados a este ítem.

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem