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
20) J. C. García-Ardila, F. Marcellán,
Generalized Gauss-Rys orthogonal polynomials, J. Math. Anal. Appl. https://doi.org/10.1016/j.jmaa.2024.128695
JCR® 2023 Impact Factor: 1.2 - Q1 (80/489) - T1
19) G. Ariznabarreta, J. C. García-Ardila, M. Mañas, F. Marcellán,
Uvarov perturbations for matrix orthogonal polynomials, Proc. Amer. Math. Soc. (Accepted).
JCR® 2023 Impact Factor: 0.8 - Q2 (178/489) - T2
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® 2023 Impact Factor: 1.8 - Q1 (39/489) - 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® 2023 Impact Factor: 1.7 - Q2 (83/331) - T1
16). J. C. García-Ardila
JCR® 2023 Impact Factor: 1.1 - Q1 (98/489) - 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® 2023 Impact Factor: 2.6 - Q1 (35/331) - 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: 1.2 - Q2 (84/330) - 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
D. Dominici, J. C. García-Ardila, F. Marcellán,
Symmetrization process and truncated orthogonal polynomials, arXiv:2307.09581 [math.CA], 2023.