Juan Carlos García-Ardila

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All published works

Action	Title	Year	Authors
+ PDF Chat	Symmetrization process and truncated orthogonal polynomials	2024	Diego Dominici Juan Carlos García-Ardila Francisco Marcellán
+	Uvarov perturbations for matrix orthogonal polynomials	2024	Gerardo Ariznabarreta Juan Carlos García-Ardila Manuel Mañas Francisco Marcellán
+	Generalized Gauss-Rys orthogonal polynomials	2024	Juan Carlos García-Ardila Francisco Marcellán
+	A Note on the Matrix Moment Problem and its Relation with Matrix Biorthogonal Polynomials	2024	Juan Carlos García-Ardila
+ PDF Chat	Spectral transformations and second kind polynomials associated with a hermitian linear functional	2024	Juan Carlos García-Ardila Francisco Marcellán
+ PDF Chat	Generalized Gauss-Rys orthogonal polynomials	2024	Juan Carlos García-Ardila Francisco Marcellán
+	A note on Laguerre truncated polynomials and quadrature formula	2024	Juan Carlos García-Ardila Francisco Marcellán
+ PDF Chat	Symmetrization process and truncated orthogonal polynomials	2023	Diego Dominici Juan Carlos García-Ardila Francisco Marcellán
+ PDF Chat	Approximation by polynomials in Sobolev spaces associated with classical moment functionals	2023	Juan Carlos García-Ardila Misael E. Marriaga
+	A NOTE ON BANDED LINEAR SYSTEMS	2023	D. Barrios Rolanı́a Juan Carlos García-Ardila
+	Symmetrization process and truncated orthogonal polynomials	2023	Diego Dominici Juan Carlos García-Ardila Francisco Marcellán
+	Uvarov Perturbations for Matrix Orthogonal Polynomials	2023	Gerardo Ariznabarreta Juan Carlos García-Ardila Manuel Mañas Francisco Marcellán
+	Sobolev orthogonality of polynomial solutions of second-order partial differential equations	2022	Juan Carlos García-Ardila Misael E. Marriaga
+ PDF Chat	Associated orthogonal polynomials of the first kind and Darboux transformations	2021	Juan Carlos García-Ardila Francisco Marcellán Paul H. Villamil-Hernández
+ PDF Chat	On Sobolev bilinear forms and polynomial solutions of second-order differential equations	2021	Juan Carlos García-Ardila Misael E. Marriaga
+	Orthogonal Polynomials and Linear Functionals	2021	Juan Carlos García-Ardila Francisco Marcellán Misael E. Marriaga
+ PDF Chat	Spectral Transformations and Associated Linear Functionals of the First Kind	2021	Juan Carlos García-Ardila Francisco Marcellán
+	Spectral Transformations and Associated Linear Functionals of the First Kind	2021	Juan Carlos García-Ardila Francisco Marcellán
+	A note on banded linear systems	2021	D. Barrios Rolanı́a Juan Carlos García-Ardila
+	Associated orthogonal polynomials of the first kind and Darboux transformations	2021	Juan Carlos García-Ardila Francisco Marcellán Paul H. Villamil-Hernández
+ PDF Chat	On the Darboux transformations and sequences of p-orthogonal polynomials	2020	D. Barrios Rolanı́a Juan Carlos García-Ardila Daniel Manrique
+	From Standard Orthogonal Polynomials to Sobolev Orthogonal Polynomials: The Role of Semiclassical Linear Functionals	2020	Juan Carlos García-Ardila Francisco Marcellán Misael E. Marriaga
+	Ratio asymptotics for biorthogonal matrix polynomials with unbounded recurrence coefficients	2020	Amílcar Branquinho Juan Carlos García-Ardila Francisco Marcellán
+ PDF Chat	Geronimus transformations for sequences of d-orthogonal polynomials	2019	D. Barrios Rolanı́a Juan Carlos García-Ardila
+ PDF Chat	Matrix Toda and Volterra lattices	2019	Amílcar Branquinho Ana Foulquié-Moreno Juan Carlos García-Ardila
+	Christoffel Transformation for a Matrix of Bi-variate Measures	2019	Juan Carlos García-Ardila Manuel Mañas Francisco Marcellán
+	Matrix biorthogonal polynomials on the real line: Geronimus transformations	2019	Gerardo Ariznabarreta Juan Carlos García-Ardila Manuel Mañas Francisco Marcellán
+	Geronimus transformations for sequences of $d$-orthogonal polynomials	2019	D. Barrios Rolanı́a Juan Carlos García-Ardila
+	On the Darboux transformations and sequences of $p$-orthogonal polynomials	2019	D. Barrios Rolanı́a Juan Carlos García-Ardila Daniel Manrique
+	Matrix biorthogonal polynomials on the real line: Geronimus transformations	2018	Gerardo Ariznabarreta Juan Carlos García-Ardila Manuel Mañas Francisco Marcellán
+	Non-Abelian integrable hierarchies: matrix biorthogonal polynomials and perturbations	2018	Gerardo Ariznabarreta Juan Carlos García-Ardila Manuel Mañas Francisco Marcellán
+	A canonical Geronimus transformation for matrix orthogonal polynomials	2017	Juan Carlos García-Ardila Luis E. Garza Francisco Marcellán
+	Ratio asymptotic for bi-orthogonal matrix polynomials with unbounded recurrence coefficients	2017	Amílcar Branquinho Juan Carlos García-Ardila Francisco Marcellán
+	Matrix biorthogonal polynomials, associated polynomials and functions of the second kind	2017	Amílcar Branquinho Juan Carlos García-Ardila Francisco Marcellán
+	An Extension of the Geronimus Transformation for Orthogonal Matrix Polynomials on the Real Line	2016	Juan Carlos García-Ardila Luis E. Garza Francisco Marcellán
+ PDF Chat	Christoffel Transformations for Matrix Orthogonal Polynomials in the Real Line and the non-Abelian 2D Toda Lattice Hierarchy	2016	Carlos Álvarez-Fernández Gerardo Ariznabarreta Juan Carlos García-Ardila Manuel Mañas Francisco Marcellán
+	Transformation theory and Christoffel formulas for matrix biorthogonal polynomials on the real line	2016	Carlos Álvarez-Fernández Gerardo Ariznabarreta Juan Carlos García-Ardila Manuel Mañas Francisco Marcellán
+	Multiple Geronimus transformations	2014	Maxim Derevyagin Juan Carlos García-Ardila Francisco Marcellán
+	Multiple Geronimus transformations	2014	Maxim Derevyagin Juan Carlos García-Ardila Francisco Marcellán
+	Multiple Geronimus transformations	2014	Maxim Derevyagin Juan Carlos García-Ardila Francisco Marcellán

Common Coauthors

Coauthor	Papers Together
Francisco Marcellán	29
Manuel Mañas	8
Gerardo Ariznabarreta	7
D. Barrios Rolanı́a	6
Misael E. Marriaga	5
Amílcar Branquinho	4
Maxim Derevyagin	3
Diego Dominici	3
Carlos Álvarez-Fernández	2
Paul H. Villamil-Hernández	2
Daniel Manrique	2
Luis E. Garza	2
Ana Foulquié-Moreno	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Darboux transformation and perturbation of linear functionals	2004	M.I. Bueno Francisco Marcellán	15
+	Multiple Geronimus transformations	2014	Maxim Derevyagin Juan Carlos García-Ardila Francisco Marcellán	14
+ PDF Chat	A note on the Geronimus transformation and Sobolev orthogonal polynomials	2013	Maxim Derevyagin Francisco Marcellán	12
+ PDF Chat	DARBOUX TRANSFORMS AND ORTHOGONAL POLYNOMIALS	2002	Gang-Joon Yoon	12
+ PDF Chat	Christoffel Transformations for Matrix Orthogonal Polynomials in the Real Line and the non-Abelian 2D Toda Lattice Hierarchy	2016	Carlos Álvarez-Fernández Gerardo Ariznabarreta Juan Carlos García-Ardila Manuel Mañas Francisco Marcellán	11
+	The Analytic Theory of Matrix Orthogonal Polynomials	2008	David Damanik Alexander Pushnitski Barry Simon	9
+	Sur la suite de polynômes orthogonaux associée à la formeu=δ c +λ(x−c) −1 L	1990	P. Maroni	9
+ PDF Chat	Orthogonal matrix polynomials and higher-order recurrence relations	1995	Antonio J. Durán Walter Van Assche	8
+	Polynomial perturbations of bilinear functionals and Hessenberg matrices	2005	M.I. Bueno Francisco Marcellán	8
+ PDF Chat	Matrix-valued orthogonal polynomials on the real line: some extensions of the classical theory	2005	L Miranian	8
+	A Generalization of Favard′s Theorem for Polynomials Satisfying a Recurrence Relation	1993	Antonio J. Durán	7
+	A survey on orthogonal matrix polynomials satisfying second order differential equations	2004	Antonio J. Durán F. Alberto Grünbaum	7
+	Darboux transformations for CMV matrices	2016	Maŕıa José Cantero Francisco Marcellán Leandro del Moral Ituarte L. Velázquez	7
+	THE SCATTERING PROBLEM FOR A DISCRETE STURM-LIOUVILLE OPERATOR	1984	Alexander Ivanovich Aptekarev Е. М. Никишин	7
+ PDF Chat	Orthogonal Polynomials	1971		6
+	Matrix orthogonal Laurent polynomials on the unit circle and Toda type integrable systems	2014	Gerardo Ariznabarreta Manuel Mañas	6
+	An Algorithmic Implementation of the Generalized Christoffel Theorem	1982	Walter Gautschi	6
+	�ber die Jacobischen Polynome und zwei verwandte Polynomklassen	1935	Wolfgang Hahn	6
+	Polynomial interpolation and Gaussian quadrature for matrix-valued functions	1994	Ann Sinap Walter Van Assche	6
+	Matrix valued orthogonal polynomials of the Jacobi type	2003	F.A. Grünbaurn I. Pacharoni Juan Tirao	6
+ PDF Chat	Matrix Inner Product Having a Matrix Symmetric Second Order Differential Operator	1997	Antonio J. Durán	6
+ PDF Chat	Markov's Theorem for Orthogonal Matrix Polynomials	1996	Antonio J. Durán	6
+	On Sobolev orthogonal polynomials	2014	Francisco Marcellán Yuan Xu	6
+	Orthogonal Polynomials and Linear Functionals	2021	Juan Carlos García-Ardila Francisco Marcellán Misael E. Marriaga	6
+	Quasideterminants	2005	Israel M. Gelfand Sergei Gelfand Vladimir Retakh Robert Lee Wilson	6
+	Christoffel transformations for multivariate orthogonal polynomials	2017	Gerardo Ariznabarreta Manuel Mañas	6
+	Differential-difference evolution equations. II (Darboux transformation for the Toda lattice)	1979	V. B. Matveev Mikhail A. Salle	5
+	Non-Abelian integrable hierarchies: matrix biorthogonal polynomials and perturbations	2018	Gerardo Ariznabarreta Juan Carlos García-Ardila Manuel Mañas Francisco Marcellán	5
+	On semi-classical linear functionals of class s=1. Classification and integral representations	1992	S. Belmehdi	5
+	Ratio Asymptotics for Orthogonal Matrix Polynomials	1999	Antonio J. Durán	5
+	On the inverse problem of the product of a semi-classical form by a polynomial	1998	Driss Beghdadi P. Maroni	5
+ PDF Chat	Über die Gaußische Quadratur und eine Verallgemeinerung derselben.	1858	E.B. Christoffel	5
+	Orthogonal Matrix Polynomials	1990	Leiba Rodmank	5
+	Multivariate orthogonal polynomials and integrable systems	2016	Gerardo Ariznabarreta Manuel Mañas	5
+ PDF Chat	Orthogonal polynomials associated with an inverse quadratic spectral transform	2011	Manuel Alfaro Ana Peña M.L. Rezola Francisco Marcellán	5
+	On the inverse problem of the product of a form by a polynomial: The cubic case	2003	P. Maroni I. Nicolau	5
+	On orthogonal polynomials transformed by the QR algorithm	1992	Martin Buhmann Arieh Iserles	4
+	Classical and Quantum Orthogonal Polynomials in One Variable	2005	Mourad E. H. Ismail	4
+	On orthogonal polynomials	1975	P. Túrán	4
+	Generalized Functions, Volume 1	2016	I. M. Gel'fand Georgiĭ Evgenʹevich Shilov	4
+	The Darboux process and a noncommutative bispectral problem: some explorations and challenges	2011	F. Alberto Grünbaum	4
+ PDF Chat	Generalized Orthogonal Polynomials, Discrete KP and Riemann-Hilbert Problems	1999	Mark Adler Pierre van Moerbeke	4
+	None	2001	Mark Adler Pierre van Moerbeke	4
+	On the existence of Darboux transformations for banded matrices	2015	D. Barrios Rolanı́a Daniel Manrique	4
+ PDF Chat	On Orthogonal Polynomials With Respect to a Positive Definite Matrix of Measures	1995	Antonio J. Durán	4
+	Orthogonal polynomials, associated polynomials and functions of the second kind	1991	Walter Van Assche	4
+	Orthogonal matrix polynomials satisfying second order difference equations	2013	R. Álvarez-Nodarse Antonio J. Durán Ana M. de los Ríos	4
+	None	1997	F. Alberto Grünbaum Luc Haine	4
+ PDF Chat	Sur l'adjonction d'une masse de Dirac á une forme régulière et semi-classique	1992	Francisco Marcellán P. Maroni	4
+	The connection between systems of polynomials orthogonal with respect to different distribution functions	1969	Vasilii B. Uvarov	4