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Analysis of institutional authors

Garcia-Ardila, JcCorresponding Author

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April 11, 2024
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Spectral transformations and second kind polynomials associated with a hermitian linear functional

Publicated to: Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas. 118 (2): 79- - 2024-04-01 118(2), DOI: 10.1007/s13398-024-01577-0

Authors:

García-Ardila, JC; Marcellán, F
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Affiliations

Univ Carlos III Madrid, Dept Matemat, Avda Univ 30 - Author
Univ Politecn Madrid, Dept Matemat Aplicada & Ingn Ind, Calle Jose Gutierrez Abascal 2 - Author

Abstract

The aim of this paper is to analyze the relation between the Christoffel transformations in the framework of hermitian linear functionals and the associated polynomials of the second kind through of their associated Caratheodory formal power series. In particular, some results are given in the way of characterization of linear spectral transformations using Christoffel and Geronimus transformations. This gives a new example of rational spectral transformation that has not yet been studied in the literature.
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Keywords

33c50Associated polynomials of second kindCarathéodory formal power seriesFractionsMatrixOrthogonal polynomialsPerturbationsPrimary 42c05Spectral transformationsSzegö orthogonal polynomialsUnit-circle

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas 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, 2024 there are still no calculated indicators, but in 2023, it was in position 53/492, thus managing to position itself as a Q1 (Primer Cuartil), in the category Mathematics.

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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 2026-04-27:

  • 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: 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://oa.upm.es/87984/
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Leadership analysis of institutional authors

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 (GARCIA ARDILA, JUAN CARLOS) .

the author responsible for correspondence tasks has been GARCIA ARDILA, JUAN CARLOS.

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