Calderón-type inequalities for affine frames
EntityUAM. Departamento de Matemáticas
10.1016/j.acha.2019.07.004Applied and Computational Harmonic Analysis 50 (2021): 326-352
Funded byThis 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
Projectinfo:eu-repo/grantAgreement/EC/H2020/777822/EU//GHAIA; Gobierno de España. MTM2016-76566-P
SubjectsCalderón condition for frames; Frames in LCA groups; Gabor systems; Matemáticas
Rights© 2019 Elsevier Inc.
Esta obra está bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.
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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