Publications

Books

1)  J. C. García-Ardila, F. Marcellán, M. E. Marriaga,

 Orthogonal Polynomials and Linear Functionals. An Algebraic Approach and Applications. EMS Series of Lectures in Mathematics, EMS Press, Berlin, 2021   ISBN: 978-3-98547-008-2

Index Publications

2021-2026

18).  J. C. García-Ardila, F. Marcellán, 

Spectral transformations and second kind polynomials associated with a hermitian linear functional.  Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 118, 79 (2024). 

JCR® 2022  Impact Factor: 2.9 - Q1   (15/330) - T1


17).  J. C. García-Ardila, M. E. Marriaga,

 Approximation by polynomials in Sobolev spaces associated with classical moment functionals. Numer. Algor 95, 285–318 (2024). 

JCR® 2022  Impact Factor: 2.2 - Q1   (27/330) - T1

16).  J. C. García-Ardila 

A note on the matrix moment problem and its relation with  matrix biorthogonal polynomials.  Results Math  79, 138 (2024). 

JCR® 2022  Impact Factor: 2.9 - Q1   (15/330) - T1

15).  J. C. García-Ardila, M. E. Marriaga,

 Sobolev orthogonality of polynomial solutions of second order partial differential equations. Comput. Appl. Math. 42, 13, (2023)

JCR® 2022  Impact Factor: 2.6 - Q1 (40/267) - T1

14).  J. C. García-Ardila, F. Marcellán, P. H. Villamil-Hernández 

Associated orthogonal polynomials of the first kind and Darboux  transformations.  J. Math. Anal. Appl. 508,  2, (2022)

JCR® 2022  Impact Factor: 1.417 - Q2   (84/329) - T1

13).  J. C. García-Ardila, M. E. Marriaga,

 On Sobolev bilinear forms and polynomial solutions of second-order differential equations.  Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 115, 191  (2021)

JCR® 2021  Impact Factor: 2.27 - Q1   (26/332) - T1

12).  J. C. García-Ardila, F. Marcellán, 

Spectral Transformations and Associated Linear Functionals of the First Kind.  Axioms, 10, 107 (2021) 

JCR® 2021 Impact Factor: 1.824 - Q2 (95/267) - T2

2015-2020

11). A. Branquinho,  J. C. García-Ardila, F. Marcellán, 

Ratio Asymptotics for biorthogonal matrix polynomials with unbounded recurrence coefficients. Appl. Anal. Discret. Math.  14 (2020), 754–774 

JCR® 2020  Impact Factor: 1.238 - Q2 (110/330) - T1 

10). D. Barrios-Rolanía,  J. C. García-Ardila,  D. Manrique 

On the Darboux transformations and sequences of p-orthogonal polynomials.  Appl. Math. Comput, 382, (2020), 125337.

JCR® 2020  Impact Factor: 4.091 - Q1    (7/265) - T1

9). A. Branquinho,  Ana Foulquié-Moreno  J. C. García-Ardila, 

Matrix Toda and Volterra lattices.  Appl. Math. Comput.  365 (2020), 124722

JCR® 2020  Impact Factor: 4.091 - Q1    (7/265) - T1

8). D. Barrios-Rolanía   J. C. García-Ardila, 

Geronimus transformations for sequences of d-orthogonal polynomials.  Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 114: 26, (2020)  

JCR® 2020  Impact Factor: 1.406 - Q1 (29/330) - T1

7). J. C. García-Ardila, M. Mañas, F. Marcellán, 

Christoffel Transformation for a Matrix of Bi-variate Measures. Complex Anal. Oper. Theory. 13  no. 8  3979-4005.  (2019)

JCR® 2019  Impact Factor: 0.739 - Q3 (181/324) - T2

6). G. Ariznabarreta, J. C. García-Ardila, M. Mañas, F. Marcellán, 

Matrix biorthogonal polynomials on the real line Geronimus transformations.  Bull. Math. Sci.  9 no. 2 (2019). 1950007 (68 pages). 

 JCR® 2019  Impact Factor: 2.241 - Q1  (17/325) - T1

5). G. Ariznabarreta, J. C. García-Ardila, M. Mañas, F. Marcellán,

 Non-Abelian integrable hierarchies: matrix biorthogonal polynomials and perturbations. J. Phys. A: Math. Theor.  (2018) 51,  205204

JCR® 2018  Impact Factor: 1.963 - Q1    (10/55) - T1

4). J. C. García-Ardila, L. E. Garza, F. Marcellán, 

A canonical Geronimus transformation for matrix orthogonal  polynomials. Linear Multilinear Algebra.  66  (2018), 357-381

JCR® 2018  Impact Factor: 0.964 –Q2 (102/314) - T1

3). C. Álvarez-Fernández, G. Ariznabarreta, J. C. García-Ardila, M. Mañas, F. Marcellán, 

Christoffel transformations for matrix orthogonal polynomials in the real line and the non-Abelian 2D Toda lattice hierarchy. Internat. Math. Res. Notices, (2017) 2017 issue  5,  1285–1341 

 JCR® 2017 Impact Factor: 1.145 - Q1  (53/310) - T1

2). J. C. García-Ardila, L. E. Garza, F. Marcellán, 

An Extension of the Geronimus Transformation for Orthogonal  Matrix Polynomials on the Real Line.  Mediterr. J. Math. (2016) 13, 5009-5032

JCR® 2016 Impact Factor: 0.868 – Q2 (83/311) - T1

2013-2014

1). M. Derevyagin, J. C. García-Ardila, F. Marcellán, 

Multiple Geronimus transformations. Linear Algebra Appl. 454 (2014), 158-183.

JCR® 2014 Impact Factor: 0.939  - Q1 (66/312) - T1

Others  publications 

4)  J. C. García-Ardila, F. Marcellán, 

A note on Laguerre truncated polynomials and quadrature formula  Analysis, Approximation, Optimization: Computation and Applications - In Honor of Gradimir V. Milovanović on the Occasion of his 75th Anniversary (edited by: M. Stanić, M. Albijanić, D. Djurčić, M. Spalević)  

3).  D. Barrios-Rolanía,  J. C. García-Ardila

 A note on  banded linear systems.  Journal of Pure and Applied Mathematics: Advances and Applications 26, 1, 1-23.  (2023).

2). J. C. García-Ardila,  F. Marcellán,  M.E. Marriaga 

From Standard Orthogonal Polynomials to Sobolev Orthogonal Polynomials: The Role of Semiclassical Linear Functionals. Foupouagnigni M., Koepf W. (eds) Orthogonal Polynomials. AIMSVSW 2018. Tutorials, Schools, and Workshops in the Mathematical Sciences. Birkhäuser, Cham (2020) 

1). H. Dueñas, J. C. García-Ardila, L. Garza, A. Ramírez,

 The Diagonal General Case of the Laguerre-Sobolev Type Orthogonal Polynomials. Revista Colombiana de Matemáticas 47 (1) (2013), 39-66. 

Preprints


Generalized Gauss-Rys orthogonal polynomials, arXiv:2401.17674 [math.CA], 2024.


Uvarov perturbations for matrix orthogonal polynomials, arXiv:2312.05137 [math.CA], 2023.


Symmetrization process and truncated orthogonal polynomials,  arXiv:2307.09581 [math.CA], 2023.