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Analysis of institutional authors

Barbieri DAuthorHernández ECorresponding Author

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September 25, 2019
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Calderón-type inequalities for affine frames

Publicated to:APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS. 50 326-352 - 2021-01-01 50(), DOI: 10.1016/j.acha.2019.07.004

Authors: Barbieri D; Hernández E; Mayeli A

Affiliations

The Doctorate-Granting Institution of the City University of New York - Author
Universidad Autónoma de Madrid - Author
‎ CUNY, Queensborough, NY USA - Author
‎ Grad Ctr, New York, NY USA - Author
‎ Univ Autonoma Madrid, Madrid 28049, Spain - Author
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Abstract

© 2019 Elsevier Inc. 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.

Keywords

Calderón condition for framesExistenceFrames in lca groupsGabor systemsInvariant-systems

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2021, it was in position 33/267, thus managing to position itself as a Q1 (Primer Cuartil), in the category Mathematics, Applied.

From a relative perspective, and based on the normalized impact indicator calculated from the Field Citation Ratio (FCR) of the Dimensions source, it yields a value of: 1.37, which indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: Dimensions Oct 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-10-23, the following number of citations:

  • WoS: 1
  • Scopus: 1

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-10-23:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 1 (PlumX).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.
  • Assignment of a Handle/URN as an identifier within the deposit in the Institutional Repository: https://repositorio.uam.es/handle/10486/700634

Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: United States of America.

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (BARBIERI ., DAVIDE) .

the author responsible for correspondence tasks has been HERNANDEZ RODRIGUEZ, EUGENIO.