Calderón-type inequalities for affine frames

Barbieri, Davide; Hernández Rodríguez, Eugenio; Mayeli, Azita

UAM_Biblioteca

dc.contributor.author	Barbieri, Davide
dc.contributor.author	Hernández Rodríguez, Eugenio
dc.contributor.author	Mayeli, Azita
dc.contributor.other	UAM. Departamento de Matemáticas	es_ES
dc.date.accessioned	2022-03-07T11:58:26Z
dc.date.available	2022-03-07T11:58:26Z
dc.date.issued	2019-09-13
dc.identifier.citation	Applied and Computational Harmonic Analysis 50 (2021): 326-352	en_US
dc.identifier.issn	1063-5203 (print)	es_ES
dc.identifier.uri	http://hdl.handle.net/10486/700634
dc.description.abstract	We prove sharp upper and lower bounds for generalized Calderón's sums associated to frames on LCA groups generated by affine actions of cocompact subgroup translations and general measurable families of automorphisms. The proof makes use of techniques of analysis on metric spaces, and relies on a counting estimate of lattice points inside metric balls. We will deduce as special cases Calderón-type inequalities for families of expanding automorphisms as well as for LCA-Gabor systems	es_ES
dc.description.sponsorship	This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 777822. D. Barbieri and E. Hernández were supported by Grants MTM2016-76566-P (MINECO, Spain). A. Mayeli was supported by PSC-CUNY grant 60623-00 48	en_US
dc.format.extent	38 pag.	es_ES
dc.format.mimetype	application/pdf	es_ES
dc.language.iso	eng	en_US
dc.publisher	Elsevier	en_US
dc.relation.ispartof	Applied and Computational Harmonic Analysis	en_US
dc.rights	© 2019 Elsevier Inc.	en_US
dc.subject.other	Calderón condition for frames	es_ES
dc.subject.other	Frames in LCA groups	en_US
dc.subject.other	Gabor systems	es_ES
dc.title	Calderón-type inequalities for affine frames	en_US
dc.type	article	en_US
dc.subject.eciencia	Matemáticas	es_ES
dc.date.embargoend	2021-09-13
dc.relation.publisherversion	https://doi.org/10.1016/j.acha.2019.07.004	es_ES
dc.identifier.doi	10.1016/j.acha.2019.07.004	es_ES
dc.identifier.publicationfirstpage	326	es_ES
dc.identifier.publicationlastpage	352	es_ES
dc.identifier.publicationvolume	50	es_ES
dc.relation.projectID	info:eu-repo/grantAgreement/EC/H2020/777822/EU//GHAIA	en_US
dc.relation.projectID	Gobierno de España. MTM2016-76566-P	es_ES
dc.type.version	info:eu-repo/semantics/acceptedVersion	es_ES
dc.rights.cc	Reconocimiento – NoComercial – SinObraDerivada	es_ES
dc.rights.accessRights	openAccess	en_US
dc.authorUAM	Barbieri, Davide (264916)
dc.facultadUAM	Facultad de Ciencias	es_ES