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Analysis of institutional authors

Barbieri DCorresponding AuthorHernández EAuthor

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Spaces invariant under unitary representations of discrete groups

Publicated to:JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 492 (1): 124357-124357 - 2020-12-01 492(1), DOI: 10.1016/j.jmaa.2020.124357

Authors: Barbieri D; Hernández E; Paternostro V

Affiliations

Universidad Autónoma de Madrid - Author
Universidad de Buenos Aires - Author

Abstract

© 2020 Elsevier Inc. We investigate the structure of subspaces of a Hilbert space that are invariant under unitary representations of a discrete group. We work with square integrable representations, and we show that they are those for which we can construct an isometry intertwining the representation with the right regular representation, that we call a Helson map. We then characterize invariant subspaces using a Helson map, and provide general characterizations of Riesz and frame sequences of orbits. These results extend to the nonabelian setting several known results for abelian groups. They also extend to countable families of generators previous results obtained for principal subspaces.

Keywords

AnalysisApplied mathematicsAstronomia / físicaCiência da computaçãoCiências ambientaisEngenharias iiiEngenharias ivInterdisciplinarMatemática / probabilidade e estatísticaMathematicsMathematics, applied

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 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, 2020, it was in position 63/330, thus managing to position itself as a Q1 (Primer Cuartil), in the category Mathematics.

From a relative perspective, and based on the normalized impact indicator calculated from World Citations provided by WoS (ESI, Clarivate), it yields a value for the citation normalization relative to the expected citation rate of: 1.91. This 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: ESI Nov 14, 2024)

This information is reinforced by other indicators of the same type, which, although dynamic over time and dependent on the set of average global citations at the time of their calculation, consistently position the work at some point among the top 50% most cited in its field:

  • Weighted Average of Normalized Impact by the Scopus agency: 2.13 (source consulted: FECYT Feb 2024)
  • Field Citation Ratio (FCR) from Dimensions: 9.58 (source consulted: Dimensions Jun 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-06-27, the following number of citations:

  • WoS: 7
  • Scopus: 13

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 2025-06-27:

  • 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: 3 (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/10486/700632

Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: Argentina.

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 BARBIERI ., DAVIDE.