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Calderón-type inequalities for affine frames

Author
Barbieri, Davideuntranslated; Hernández Rodríguez, Eugeniountranslated; Mayeli, Azita
Entity
UAM. Departamento de Matemáticas
Publisher
Elsevier
Date
2019-09-13
Citation
Applied and Computational Harmonic Analysis 50 (2021): 326-352
ISSN
1063-5203 (print)
DOI
10.1016/j.acha.2019.07.004
Funded by
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
Project
info:eu-repo/grantAgreement/EC/H2020/777822/EU//GHAIA; Gobierno de España. MTM2016-76566-P
Editor's Version
https://doi.org/10.1016/j.acha.2019.07.004
Subjects
Calderón condition for frames; Frames in LCA groups; Gabor systems; Matemáticas
URI
http://hdl.handle.net/10486/700634
Rights
© 2019 Elsevier Inc.

Licencia de Creative Commons
Esta obra está bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.

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
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Google™ Scholar:Barbieri, Davide - Hernández Rodríguez, Eugenio - Mayeli, Azita

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