Edit Profile (opens in new tab) Ariznabarreta, Gerardo Co-Author Distance Author ID: ariznabarreta.gerardo Published as: Ariznabarreta, Gerardo Documents Indexed: 14 Publications since 2014, including 5 Additional arXiv Preprints Co-Authors: 6 Co-Authors with 14 Joint Publications 233 Co-Co-Authors all top 5 Co-Authors 0 single-authored 14 Mañas, Manuel 5 García-Ardila, Juan Carlos 5 Marcellán Español, Francisco 2 Álvarez-Fernández, Carlos 2 Toledano, Alfredo 1 Tempesta, Piergiulio all top 5 Serials 2 Advances in Mathematics 1 Journal of Approximation Theory 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Studies in Applied Mathematics 1 Physica D 1 IMRN. International Mathematics Research Notices 1 Journal of Physics A: Mathematical and Theoretical 1 Bulletin of Mathematical Sciences all top 5 Fields 10 Harmonic analysis on Euclidean spaces (42-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Special functions (33-XX) 8 Dynamical systems and ergodic theory (37-XX) 4 Functional analysis (46-XX) 2 Algebraic geometry (14-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 9 Publications have been cited 119 times in 46 Documents Cited by ▼ Year ▼ Christoffel transformations for matrix orthogonal polynomials in the real line and the non-abelian 2D Toda lattice hierarchy. Zbl 1405.42047 Álvarez-Fernández, Carlos; Ariznabarreta, Gerardo; García-Ardila, Juan Carlos; Mañas, Manuel; Marcellán, Francisco 30 2017 Matrix orthogonal Laurent polynomials on the unit circle and Toda type integrable systems. Zbl 1305.33018 Ariznabarreta, Gerardo; Mañas, Manuel 19 2014 Multivariate orthogonal polynomials and integrable systems. Zbl 1350.15002 Ariznabarreta, Gerardo; Mañas, Manuel 19 2016 Christoffel transformations for multivariate orthogonal polynomials. Zbl 1387.42028 Ariznabarreta, Gerardo; Mañas, Manuel 15 2018 Non-abelian integrable hierarchies: matrix biorthogonal polynomials and perturbations. Zbl 1401.37073 Ariznabarreta, Gerardo; García-Ardila, Juan C; Mañas, Manuel; Marcellán, Francisco 13 2018 Matrix biorthogonal polynomials on the real line: Geronimus transformations. Zbl 1467.42040 Ariznabarreta, Gerardo; García-Ardila, Juan C.; Mañas, Manuel; Marcellán, Francisco 10 2019 CMV biorthogonal Laurent polynomials: perturbations and Christoffel formulas. Zbl 1391.42030 Ariznabarreta, Gerardo; Mañas, Manuel; Toledano, Alfredo 9 2018 Multivariate Toda hierarchies and biorthogonal polynomials. Zbl 1498.37103 Ariznabarreta, Gerardo; Mañas, Manuel 2 2022 Multivariate orthogonal Laurent polynomials and integrable systems. Zbl 1490.37090 Ariznabarreta, Gerardo; Mañas, Manuel 2 2022 Multivariate Toda hierarchies and biorthogonal polynomials. Zbl 1498.37103 Ariznabarreta, Gerardo; Mañas, Manuel 2 2022 Multivariate orthogonal Laurent polynomials and integrable systems. Zbl 1490.37090 Ariznabarreta, Gerardo; Mañas, Manuel 2 2022 Matrix biorthogonal polynomials on the real line: Geronimus transformations. Zbl 1467.42040 Ariznabarreta, Gerardo; García-Ardila, Juan C.; Mañas, Manuel; Marcellán, Francisco 10 2019 Christoffel transformations for multivariate orthogonal polynomials. Zbl 1387.42028 Ariznabarreta, Gerardo; Mañas, Manuel 15 2018 Non-abelian integrable hierarchies: matrix biorthogonal polynomials and perturbations. Zbl 1401.37073 Ariznabarreta, Gerardo; García-Ardila, Juan C; Mañas, Manuel; Marcellán, Francisco 13 2018 CMV biorthogonal Laurent polynomials: perturbations and Christoffel formulas. Zbl 1391.42030 Ariznabarreta, Gerardo; Mañas, Manuel; Toledano, Alfredo 9 2018 Christoffel transformations for matrix orthogonal polynomials in the real line and the non-abelian 2D Toda lattice hierarchy. Zbl 1405.42047 Álvarez-Fernández, Carlos; Ariznabarreta, Gerardo; García-Ardila, Juan Carlos; Mañas, Manuel; Marcellán, Francisco 30 2017 Multivariate orthogonal polynomials and integrable systems. Zbl 1350.15002 Ariznabarreta, Gerardo; Mañas, Manuel 19 2016 Matrix orthogonal Laurent polynomials on the unit circle and Toda type integrable systems. Zbl 1305.33018 Ariznabarreta, Gerardo; Mañas, Manuel 19 2014 all cited Publications top 5 cited Publications all top 5 Cited by 49 Authors 14 Mañas, Manuel 8 Garza, Luis E. 7 García-Ardila, Juan Carlos 7 Marcellán Español, Francisco 6 Ariznabarreta, Gerardo 6 Fuentes, Edinson 5 Branquinho, Amílcar José Pinto Lopes 4 Foulquié Moreno, Ana Pilar 4 Román, Pablo Manuel 3 Chang, Xiangke 3 Doliwa, Adam 3 Dueñas, Herbert 3 Pérez, Teresa E. 2 Bracciali, Cleonice Fátima 2 Fernández-Irisarri, Itsaso 2 Hu, Xingbiao 2 Koelink, Erik 2 Morey, Lucía 2 Piñar, Miguel A. 2 Szmigielski, Jacek 1 Abdalla, Mohamed 1 Boulaaras, Salah Mahmoud 1 Cafasso, Mattia 1 Choque Rivero, Abdon Eddy 1 De Los Ríos, Ana M. 1 Deaño, Alfredo 1 Delgado, Antonia M. 1 Domínguez de la Iglesia, Manuel 1 Dominici, Diego Ernesto 1 Eijsvoogel, Bruno 1 Felipe-Sosa, Raúl 1 Felipe, Raúl 1 Fernández, Lidia 1 Fradi, Assil 1 González-Hernández, Omar F. 1 Ismail, Mourad El-Houssieny 1 Li, Shihao 1 López-Reyes, Nancy 1 Marriaga, Misael E. 1 Martínez-Finkelshtein, Andrei 1 Peralta, S. Medina 1 Sakhnovich, Alexander L. 1 Siemaszko, Artur 1 Sri Ranga, Alagacone 1 Veronese, Daniel O. 1 Wang, Bao 1 Yu, Guofu 1 Yue, Xiao-Lu 1 Zhedanov, Alexei S. all top 5 Cited in 28 Serials 4 Journal of Mathematical Analysis and Applications 3 Journal of Approximation Theory 3 Constructive Approximation 3 Journal of Physics A: Mathematical and Theoretical 2 Advances in Mathematics 2 Applied Mathematics and Computation 2 Proceedings of the American Mathematical Society 2 Studies in Applied Mathematics 2 Physica D 2 Linear Algebra and its Applications 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Bulletin of Mathematical Sciences 1 Communications in Mathematical Physics 1 Journal of the Franklin Institute 1 Letters in Mathematical Physics 1 Linear and Multilinear Algebra 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Advances in Applied Mathematics 1 Integral Transforms and Special Functions 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Computational Methods and Function Theory 1 Mediterranean Journal of Mathematics 1 Complex Analysis and Operator Theory 1 Operators and Matrices 1 Applicable Analysis and Discrete Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Analysis and Mathematical Physics 1 Journal of Function Spaces all top 5 Cited in 21 Fields 35 Special functions (33-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 20 Dynamical systems and ergodic theory (37-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 8 Difference and functional equations (39-XX) 6 Ordinary differential equations (34-XX) 5 Functions of a complex variable (30-XX) 4 Approximations and expansions (41-XX) 3 Partial differential equations (35-XX) 3 Numerical analysis (65-XX) 2 Functional analysis (46-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Systems theory; control (93-XX) Citations by Year