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dc.contributor.author
Antezana, Jorge Abel  
dc.contributor.author
García, María Guadalupe  
dc.date.available
2020-12-03T13:12:29Z  
dc.date.issued
2020-12  
dc.identifier.citation
Antezana, Jorge Abel; García, María Guadalupe; Model subspaces techniques to study Fourier expansions in L^2 spaces associated to singular measures; Academic Press Inc Elsevier Science; Journal of Functional Analysis; 279; 10; 12-2020; 1-20  
dc.identifier.issn
0022-1236  
dc.identifier.uri
http://hdl.handle.net/11336/119698  
dc.description.abstract
Let μ be a probability measure on T that is singular with respect to the Haar measure. In this paper we study Fourier expansions in L2(T,μ) using techniques from the theory of model subspaces of the Hardy space. Since the sequence of monomials {zn}n∈N is effective in L2(T,μ), it has a Parseval frame associated via the Kaczmarz algorithm. Our first main goal is to identify the aforementioned frame with boundary values of the frame Pφ(zn) for the model subspace H(φ)=H2⊖φH2, where Pφ is the orthogonal projection from the Hardy space H2 onto H(φ). The study of Fourier expansions in L2(T,μ) also leads to consider positive kernels in the Hardy space. Our second main goal is to study the set of measures μ which reproduce a kernel contained in a model subspace. We completely characterize this set when the kernel is the reproducing kernel of a model subspace, and we study the consequences of this characterization.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Academic Press Inc Elsevier Science  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
FOURIER EXPANSIONS  
dc.subject
KACZMARZ ALGORITHM  
dc.subject
MODEL SUBSPACES  
dc.subject
PARSEVAL FRAMES  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Model subspaces techniques to study Fourier expansions in L^2 spaces associated to singular measures  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2020-12-02T20:11:43Z  
dc.journal.volume
279  
dc.journal.number
10  
dc.journal.pagination
1-20  
dc.journal.pais
Estados Unidos  
dc.description.fil
Fil: Antezana, Jorge Abel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad Nacional de la Plata. Facultad de Cs.exactas. Centro de Matematica de la Plata.; Argentina  
dc.description.fil
Fil: García, María Guadalupe. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad Nacional de la Plata. Facultad de Cs.exactas. Centro de Matematica de la Plata.; Argentina  
dc.journal.title
Journal of Functional Analysis  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://linkinghub.elsevier.com/retrieve/pii/S0022123620302688  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jfa.2020.108725  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1907.08876