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Garcia Ardila, Juan Carlos juancarlos.garciaa@upm.es

MATEMÁTICA APLICADA A LA INGENIERÍA INDUSTRIAL / Universidad Politécnica de Madrid

Publications

A Note on the Matrix Moment Problem and its Relation with Matrix Biorthogonal Polynomials

  • García-Ardila, JC

Results In Mathematics - 1/6/2024

10.1007/s00025-024-02161-z View at source

  • ISSN 14226383
Open Access

Spectral transformations and second kind polynomials associated with a hermitian linear functional

  • Garcia Ardila, Juan Carlos
  • Marcellan Español, Francisco Jose

Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas (p. 1-26) - 1/4/2024

10.1007/s13398-024-01577-0 View at source

  • EISSN 1579-1505
  • ISSN 15787303
Open Access

Generalized Gauss-Rys orthogonal polynomials

  • Garcia Ardila, Juan Carlos
  • Marcellan Español, Francisco Jose

Journal Of Mathematical Analysis And Applications (p. 1-23) - 15/12/2024

10.1016/j.jmaa.2024.128695 View at source

  • EISSN 1096-0813
  • ISSN 0022247X
Open Access

Symmetrization process and truncated orthogonal polynomials

  • Dominici, Diego
  • Garcia Ardila, Juan Carlos
  • Marcellan Español, Francisco Jose

Analysis And Mathematical Physics (p. 1-51) - 1/12/2024

10.1007/s13324-024-00974-3 View at source

  • EISSN 1664-235X
  • ISSN 16642368

Approximation by polynomials in Sobolev spaces associated with classical moment functionals

  • García-Ardila JC
  • Marriaga ME

Numerical Algorithms (p. 285-318) - 1/1/2024

https://doi.org/10.1007/s11075-023-01572-3 View at source

  • ISSN 10171398

UVAROV PERTURBATIONS FOR MATRIX ORTHOGONAL POLYNOMIALS

  • Ariznabarreta G
  • García-Ardila JC
  • Mañas M
  • Marcellán F

Proceedings Of The American Mathematical Society, Series b (p. 525-537) - 1/1/2024

10.1090/bproc/235 View at source

  • ISSN 23301511

Sobolev orthogonality of polynomial solutions of second-order partial differential equations

  • Garcia-Ardila, Juan C
  • Marriaga, Misael E

Computational & Applied Mathematics - 1/2/2023

10.1007/s40314-022-02152-2 View at source

  • ISSN 01018205
Open Access

Associated orthogonal polynomials of the first kind and Darboux transformations

  • Garcia Ardila, Juan Carlos
  • Marcellan Español, Francisco Jose
  • Villamil Hernandez, P. H.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (p. 1-26) - 1/4/2022

https://doi.org/10.1016/j.jmaa.2021.125883 View at source

  • EISSN 1096-0813
  • ISSN 0022247X
Open Access

Spectral transformations and associated linear functionals of the first kind

  • Garcia Ardila, Juan Carlos
  • Marcellan Español, Francisco Jose

Axioms (p. 1-23) - 1/6/2021

https://doi.org/10.3390/axioms10020107 View at source

  • ISSN 2075-1680

On Sobolev bilinear forms and polynomial solutions of second-order differential equations

  • García-Ardila, JC
  • Marriaga, ME

Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas (p. 191- ) - 1/10/2021

10.1007/s13398-021-01137-w View at source

  • ISSN 15787303

Orthogonal Polynomials and Linear Functionals. An Algebraic Approach and Applications.

  • Juan Carlos García-Ardila
  • Francisco Marcellán
  • Misael E. Marriaga

15/8/2021

10.4171/elm/33 View at source

  • ISBN 9783985470082

From Standard Orthogonal Polynomials to Sobolev Orthogonal Polynomials: The Role of Semiclassical Linear Functionals

  • García-Ardila JC
  • Marcellán F
  • Marriaga ME

Tutorials, Schools, And Workshops In The Mathematical Sciences (p. 245-292) - 1/1/2020

10.1007/978-3-030-36744-2_13 View at source

  • ISSN 25220969

Generalized Gauss-Rys orthogonal polynomials.

  • GARCIA ARDILA, JUAN CARLOS

Ams Sectional Meetings-Hartford, Ct - 6/4/2025

  • iMarina

On Sobolev bilinear forms and classical orthogonal polynomials with non standard parameters

  • Juan Carlos García Ardila

15/7/2024

  • iMarina

A note on Laguerre truncated polynomials and quadrature formula

  • Juan Carlos Garcia Ardila

24/6/2024

  • iMarina

On Sobolev bilinear forms and polynomial solutions of second-order differential equations

  • Juan Carlos Garcia Ardila

11/6/2024

  • iMarina

Orthogonal polynomials and matrix factorizations

  • Juan Carlos Garcia Ardila

Orthogonal Polynomials And Applications, Lovaina, Bélgica - 8/6/2023

  • iMarina

Conditions on eigenvalues and eigenpolynomials of high-order differential operators, Workshop Dos Días de Polinomios Ortogonales

  • L. M. Anguas, D. Barrios, J.C. García Ardila

4º Workshop Dos Días De Polinomios Ortogonales - 14/12/2023

  • iMarina

Proceso de simetrización y polinomios ortogonales truncados

  • J. C. García Ardila

4º Workshop Dos Días De Polinomios Ortogonales - 13/12/2023

  • iMarina

Symmetrization process and its application to a family of truncated orthogonal polynomials

  • García Ardila, J.C.

Ibero-American Network Of Researchers In Orthogonal Polynomials, Functional Equations And Applications - 2/12/2023

  • iMarina

Linear spectral transforms, orthogonal polynomials and matrix factorizations

  • GARCIA ARDILA, JUAN CARLOS

9/6/2022

  • iMarina

Geronimus transformations for sequences of d-orthogonal polynomials

  • D. Barrios Rolanía, J.C: García Ardila

10/11/2022

  • iMarina

This researcher has no working papers.

This researcher has no technical reports.

MTM2015-65888-C4-2-P - Ortogonalidad, teoría de la aproximación y aplicaciones en física matemática

  • Marcellan Español, Francisco Jose
  • Lopez Lagomasino, Guillermo
  • Arvesu Carballo, Jorge
  • Pijeira Cabrera, Hector Esteban
  • Costas Santos, Roberto Santiago

Period: 01-01-2016 - 31-07-2019

Type of funding: National

Funding entity: MINISTERIO DE ASUNTOS ECONOMICOS Y TRANSFORMACION DIGITAL

Amount of funding: 58,56 Euros.

This researcher has no supervised thesis.

This researcher has no patents or software licenses.

Last data update: 11/10/25 3:30 PM