Mostrar el registro sencillo del ítem
dc.contributor.author
Silva, Luis O.
dc.contributor.author
Toloza, Julio Hugo
![Se ha confirmado la validez de este valor de autoridad por un usuario](/themes/CONICETDigital/images/authority_control/invisible.gif)
dc.date.available
2024-02-09T15:16:24Z
dc.date.issued
2023-11-30
dc.identifier.citation
Silva, Luis O.; Toloza, Julio Hugo; Oversampling on a class of symmetric regular de Branges spaces; Taylor & Francis; Complex Variables and Elliptic Equations; 2023; 30-11-2023; 1-20
dc.identifier.issn
1747-6933
dc.identifier.uri
http://hdl.handle.net/11336/226640
dc.description.abstract
A de Branges space B is regular if the constants belong to its space of associated functions and is symmetric if it is isometrically invariant under the map F(z)↦F(−z) . Let KB(z,w) be the reproducing kernel in B and SB be the operator of multiplication by the independent variable with maximal domain in B . Loosely speaking, we say that B has the ℓp -oversampling property relative to a proper subspace A of it, with p∈(2,∞] , if there exists JAB:C×C→C such that J(⋅,w)∈B for all w∈C , ∑λ∈σ(SγB)(|JAB(z,λ)|KB(λ,λ)1/2)p/(p−1)<∞andF(z)=∑λ∈σ(SγB)JAB(z,λ)KB(λ,λ)F(λ), for all F∈A and almost every self-adjoint extension SγB of SB . This definition is motivated by the well-known oversampling property of Paley-Wiener spaces. In this paper, we provide sufficient conditions for a symmetric, regular de Branges space to have the ℓp -oversampling property relative to a chain of de Branges subspaces of it.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Taylor & Francis
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
DE BRANGES SPACES
dc.subject
OVERSAMPLING
dc.subject
SAMPLING THEORY
dc.subject
CANONICAL SYSTEMS
dc.subject.classification
Matemática Pura
![Se ha confirmado la validez de este valor de autoridad por un usuario](/themes/CONICETDigital/images/authority_control/invisible.gif)
dc.subject.classification
Matemáticas
![Se ha confirmado la validez de este valor de autoridad por un usuario](/themes/CONICETDigital/images/authority_control/invisible.gif)
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
![Se ha confirmado la validez de este valor de autoridad por un usuario](/themes/CONICETDigital/images/authority_control/invisible.gif)
dc.title
Oversampling on a class of symmetric regular de Branges spaces
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-12-26T14:17:47Z
dc.identifier.eissn
1747-6941
dc.journal.volume
2023
dc.journal.pagination
1-20
dc.journal.pais
Reino Unido
![Se ha confirmado la validez de este valor de autoridad por un usuario](/themes/CONICETDigital/images/authority_control/invisible.gif)
dc.description.fil
Fil: Silva, Luis O.. Universidad Nacional Autónoma de México; México
dc.description.fil
Fil: Toloza, Julio Hugo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
dc.journal.title
Complex Variables and Elliptic Equations
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.tandfonline.com/doi/full/10.1080/17476933.2023.2283879
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1080/17476933.2023.2283879
Archivos asociados