Calderón-type inequalities for affine frames
نویسندگان
چکیده
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 general measurable families automorphisms. The proof makes use techniques analysis metric spaces, relies a counting estimate lattice points inside balls. will deduce as special cases Calderón-type inequalities expanding automorphisms well LCA-Gabor systems.
منابع مشابه
Calderón-type inequalities for affine frames
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 C...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2021
ISSN: ['1096-603X', '1063-5203']
DOI: https://doi.org/10.1016/j.acha.2019.07.004