Edit Profile (opens in new tab) Cantero, María José Co-Author Distance Author ID: cantero.maria-jose Published as: Cantero, M. J.; Cantero, María José; Cantero, Maria José; Cantero, Maria-José; Cantero, María-José more...less External Links: MGP Documents Indexed: 37 Publications since 1998, including 4 Additional arXiv Preprints Reviewing Activity: 17 Reviews Co-Authors: 13 Co-Authors with 35 Joint Publications 512 Co-Co-Authors all top 5 Co-Authors 2 single-authored 24 Moral, Leandro 22 Velázquez, Luis 5 Iserles, Arieh 5 Marcellán Español, Francisco 3 Alfaro García, Manuel 3 Grünbaum, Francisco Alberto 2 Bultheel, Adhemar François 2 Cruz-Barroso, Ruymán 1 Deckers, Karl 1 Ferrer, M. Pilar 1 Ferrer, Maria P. 1 González-Vera, Pablo 1 Simon, Barry all top 5 Serials 7 Journal of Approximation Theory 3 Journal of Computational and Applied Mathematics 2 Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza. Serie 2 2 Linear Algebra and its Applications 1 Communications on Pure and Applied Mathematics 1 Reviews in Mathematical Physics 1 Advances in Mathematics 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Complex Variables. Theory and Application 1 Applied Numerical Mathematics 1 Constructive Approximation 1 Numerical Algorithms 1 Advances in Computational Mathematics 1 East Journal on Approximations 1 Quantum Information Processing 1 Journal of Concrete and Applicable Mathematics all top 5 Fields 34 Harmonic analysis on Euclidean spaces (42-XX) 8 Special functions (33-XX) 7 Operator theory (47-XX) 6 Approximations and expansions (41-XX) 5 Functions of a complex variable (30-XX) 5 Numerical analysis (65-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Quantum theory (81-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 21 Publications have been cited 452 times in 305 Documents Cited by ▼ Year ▼ Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle. Zbl 1022.42013 Cantero, M. J.; Moral, L.; Velázquez, L. 145 2003 Matrix-valued Szegő polynomials and quantum random walks. Zbl 1186.81036 Cantero, M. J.; Moral, L.; Grünbaum, F. Alberto; Velázquez, L. 56 2010 The CGMV method for quantum walks. Zbl 1252.82082 Cantero, M. J.; Grünbaum, F. A.; Moral, L.; Velázquez, L. 36 2012 Measures and para-orthogonal polynomials on the unit circle. Zbl 1330.42015 Cantero, M. J.; Moral, L.; Velázquez, L. 35 2002 Minimal representations of unitary operators and orthogonal polynomials on the unit circle. Zbl 1072.42020 Cantero, M. J.; Moral, L.; Velázquez, L. 32 2005 One-dimensional quantum walks with one defect. Zbl 1251.81026 Cantero, M. J.; Grünbaum, F. A.; Moral, L.; Velázquez, L. 30 2012 Measures on the unit circle and unitary truncations of unitary operators. Zbl 1088.42013 Cantero, M. J.; Moral, L.; Velázquez, L. 22 2006 Matrix orthogonal polynomials whose derivatives are also orthogonal. Zbl 1112.42012 Cantero, M. J.; Moral, L.; Velázquez, L. 19 2007 A matrix approach to the computation of quadrature formulas on the unit circle. Zbl 1139.65015 Cantero, María José; Cruz-Barroso, Ruymán; González-Vera, Pablo 15 2008 Differential properties of matrix orthogonal polynomials. Zbl 1096.42008 Cantero, M. J.; Moral, L.; Velázquez, L. 11 2005 A matricial computation of rational quadrature formulas on the unit circle. Zbl 1172.65015 Bultheel, Adhemar; Cantero, Maria-José 10 2009 Darboux transformations for CMV matrices. Zbl 1345.42029 Cantero, M. J.; Marcellán, F.; Moral, L.; Velázquez, L. 9 2016 Matrix methods for quadrature formulas on the unit circle. A survey. Zbl 1312.65033 Bultheel, Adhemar; Cantero, María José; Cruz-Barroso, Ruymán 9 2015 From orthogonal polynomials on the unit circle to functional equations via generating functions. Zbl 1335.42028 Cantero, María José; Iserles, Arieh 5 2016 Direct and inverse polynomial perturbations of Hermitian linear functionals. Zbl 1221.42045 Cantero, M. J.; Moral, L.; Velázquez, L. 4 2011 Semiorthogonal functions and orthogonal polynomials on the unit circle. Zbl 0944.42017 Alfaro, Manuel; Cantero, María José; Moral, Leandro 3 1998 On rapid computation of expansions in ultraspherical polynomials. Zbl 1241.42023 Cantero, María José; Iserles, Arieh 3 2012 An extension of the associated rational functions on the unit circle. Zbl 1214.30021 Deckers, Karl; Cantero, María José; Moral, Leandro; Velázquez, Luis 3 2011 Poisson brackets of orthogonal polynomials. Zbl 1200.41040 Cantero, María José; Simon, Barry 2 2009 A connection between orthogonal polynomials on the unit circle and matrix orthogonal polynomials on the real line. Zbl 1016.42011 Cantero, M. J.; Ferrer, M. P.; Moral, L.; Velázquez, L. 2 2003 On expansions in orthogonal polynomials. Zbl 1277.42029 Cantero, María José; Iserles, Arieh 1 2013 Darboux transformations for CMV matrices. Zbl 1345.42029 Cantero, M. J.; Marcellán, F.; Moral, L.; Velázquez, L. 9 2016 From orthogonal polynomials on the unit circle to functional equations via generating functions. Zbl 1335.42028 Cantero, María José; Iserles, Arieh 5 2016 Matrix methods for quadrature formulas on the unit circle. A survey. Zbl 1312.65033 Bultheel, Adhemar; Cantero, María José; Cruz-Barroso, Ruymán 9 2015 On expansions in orthogonal polynomials. Zbl 1277.42029 Cantero, María José; Iserles, Arieh 1 2013 The CGMV method for quantum walks. Zbl 1252.82082 Cantero, M. J.; Grünbaum, F. A.; Moral, L.; Velázquez, L. 36 2012 One-dimensional quantum walks with one defect. Zbl 1251.81026 Cantero, M. J.; Grünbaum, F. A.; Moral, L.; Velázquez, L. 30 2012 On rapid computation of expansions in ultraspherical polynomials. Zbl 1241.42023 Cantero, María José; Iserles, Arieh 3 2012 Direct and inverse polynomial perturbations of Hermitian linear functionals. Zbl 1221.42045 Cantero, M. J.; Moral, L.; Velázquez, L. 4 2011 An extension of the associated rational functions on the unit circle. Zbl 1214.30021 Deckers, Karl; Cantero, María José; Moral, Leandro; Velázquez, Luis 3 2011 Matrix-valued Szegő polynomials and quantum random walks. Zbl 1186.81036 Cantero, M. J.; Moral, L.; Grünbaum, F. Alberto; Velázquez, L. 56 2010 A matricial computation of rational quadrature formulas on the unit circle. Zbl 1172.65015 Bultheel, Adhemar; Cantero, Maria-José 10 2009 Poisson brackets of orthogonal polynomials. Zbl 1200.41040 Cantero, María José; Simon, Barry 2 2009 A matrix approach to the computation of quadrature formulas on the unit circle. Zbl 1139.65015 Cantero, María José; Cruz-Barroso, Ruymán; González-Vera, Pablo 15 2008 Matrix orthogonal polynomials whose derivatives are also orthogonal. Zbl 1112.42012 Cantero, M. J.; Moral, L.; Velázquez, L. 19 2007 Measures on the unit circle and unitary truncations of unitary operators. Zbl 1088.42013 Cantero, M. J.; Moral, L.; Velázquez, L. 22 2006 Minimal representations of unitary operators and orthogonal polynomials on the unit circle. Zbl 1072.42020 Cantero, M. J.; Moral, L.; Velázquez, L. 32 2005 Differential properties of matrix orthogonal polynomials. Zbl 1096.42008 Cantero, M. J.; Moral, L.; Velázquez, L. 11 2005 Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle. Zbl 1022.42013 Cantero, M. J.; Moral, L.; Velázquez, L. 145 2003 A connection between orthogonal polynomials on the unit circle and matrix orthogonal polynomials on the real line. Zbl 1016.42011 Cantero, M. J.; Ferrer, M. P.; Moral, L.; Velázquez, L. 2 2003 Measures and para-orthogonal polynomials on the unit circle. Zbl 1330.42015 Cantero, M. J.; Moral, L.; Velázquez, L. 35 2002 Semiorthogonal functions and orthogonal polynomials on the unit circle. Zbl 0944.42017 Alfaro, Manuel; Cantero, María José; Moral, Leandro 3 1998 all cited Publications top 5 cited Publications all top 5 Cited by 309 Authors 19 Velázquez, Luis 18 Cantero, María José 15 Konno, Norio 15 Marcellán Español, Francisco 14 Grünbaum, Francisco Alberto 13 Fillman, Jake 13 Sri Ranga, Alagacone 12 Cruz-Barroso, Ruymán 12 Durán, Antonio José 12 Moral, Leandro 12 Segawa, Etsuo 11 Simon, Barry 9 Bultheel, Adhemar François 9 Damanik, David 9 Garza, Luis E. 9 González-Vera, Pablo 8 Ong, Darren C. 7 Joye, Alain 7 Mañas, Manuel 7 Suzuki, Akito 6 Bracciali, Cleonice Fátima 6 Fuentes, Edinson 5 Castillo, Kenier 5 Cedzich, Christopher 5 Gemignani, Luca 5 Njåstad, Olav 5 Werner, Albert H. 4 Bevilacqua, Roberto 4 Daruis, Leyla 4 Deckers, Karl 4 Del Corso, Gianna M. 4 Golinskii, Leonid Borisovich 4 Kiumi, Chusei 4 Lukic, Milivoje 4 Nenciu, Irina 4 Ugurlu, Ekin 3 Ariznabarreta, Gerardo 3 Branquinho, Amílcar José Pinto Lopes 3 Breuer, Jonathan 3 De Los Ríos, Ana M. 3 Dette, Holger 3 Eichinger, Benjamin 3 Endo, Takako 3 García-Ardila, Juan Carlos 3 Killip, Rowan 3 Lardizabal, Carlos F. 3 Lasarow, Andreas 3 Maeda, Masaya 3 Marin, Laurent 3 Martínez-Finkelshtein, Andrei 3 Mazzuca, Guido 3 Olshevsky, Vadim 3 Peherstorfer, Franz 3 Perdomo-Pío, Francisco 3 Román, Pablo Manuel 3 Sato, Iwao 3 Simanek, Brian Z. 3 Stoiciu, Mihai 3 Stolz, Gunter 3 Tiedra de Aldecoa, Rafael 3 Vandebril, Raf 3 Vinet, Luc 3 Wang, Fengpeng 3 Werner, Reinhard F. 3 Zhedanov, Alexei S. 3 Zhlobich, Pavel 3 Zinchenko, Maxim 2 Arlins’kyĭ, Yuriĭ Moĭseĭovych 2 Asch, Joachim 2 Bella, Tom 2 Boumaza, Hakim 2 Costa, Marisa S. 2 Delvaux, Steven 2 Denisov, Sergey A. 2 Díaz-Mendoza, Carlos 2 Domínguez de la Iglesia, Manuel 2 Dudkin, Mykola E. 2 Dueñas, Herbert 2 Dyuzhenkova, O. Yu. 2 Foulquié Moreno, Ana Pilar 2 Funakawa, Daiju 2 Geib, T. 2 Gekhtman, Mikhaèl I. 2 Gesztesy, Fritz 2 Gibson, Peter C. 2 Grava, Tamara 2 Hamza, Eman 2 Iserles, Arieh 2 Ismail, Mourad El-Houssieny 2 Kang, Yuanbao 2 Koelink, Erik 2 Kozhan, Rostyslav V. 2 Lamblém, Regina Litz 2 Liu, Chaobin 2 McCabe, John H. 2 Morioka, Hisashi 2 Munger, Paul E. 2 Ohno, Hiromichi 2 Rebocho, M. N. 2 Richard, Serge ...and 209 more Authors all top 5 Cited in 90 Serials 35 Journal of Approximation Theory 25 Quantum Information Processing 18 Journal of Computational and Applied Mathematics 16 Linear Algebra and its Applications 14 Communications in Mathematical Physics 9 Journal of Mathematical Analysis and Applications 9 Journal of Mathematical Physics 8 Journal of Functional Analysis 7 Letters in Mathematical Physics 7 Proceedings of the American Mathematical Society 7 Numerical Algorithms 6 Journal of Statistical Physics 6 Mathematics of Computation 6 Advances in Mathematics 6 Constructive Approximation 5 Reviews in Mathematical Physics 5 Applied Numerical Mathematics 5 Integral Transforms and Special Functions 4 Applied Mathematics and Computation 4 Interdisciplinary Information Sciences (IIS) 3 Communications on Pure and Applied Mathematics 3 Duke Mathematical Journal 3 Numerische Mathematik 3 SIAM Journal on Matrix Analysis and Applications 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Complex Analysis and Operator Theory 3 Journal of Physics A: Mathematical and Theoretical 2 Computers & Mathematics with Applications 2 Journal d’Analyse Mathématique 2 Ukrainian Mathematical Journal 2 Calcolo 2 Inventiones Mathematicae 2 Studies in Applied Mathematics 2 Transactions of the American Mathematical Society 2 Acta Applicandae Mathematicae 2 Physica D 2 International Journal of Quantum Information 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Journal of Probability and Statistics 2 Journal of Spectral Theory 2 Random Matrices: Theory and Applications 2 Quantum Studies: Mathematics and Foundations 1 Journal of Computational Physics 1 Physica A 1 Reports on Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Acta Mathematica 1 Acta Mathematica Vietnamica 1 Demonstratio Mathematica 1 Functiones et Approximatio. Commentarii Mathematici 1 Functional Analysis and its Applications 1 Integral Equations and Operator Theory 1 Journal of the Mathematical Society of Japan 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Monatshefte für Mathematik 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 SIAM Journal on Numerical Analysis 1 Advances in Applied Mathematics 1 Ergodic Theory and Dynamical Systems 1 Journal of Scientific Computing 1 Science in China. Series A 1 Sugaku Expositions 1 The Annals of Applied Probability 1 MSCS. Mathematical Structures in Computer Science 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Bulletin des Sciences Mathématiques 1 Advances in Computational Mathematics 1 Electronic Journal of Probability 1 Conformal Geometry and Dynamics 1 Annals of Mathematics. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Computational Methods and Function Theory 1 Mediterranean Journal of Mathematics 1 Journal of Nonlinear Science and Applications 1 Annals of Functional Analysis 1 Analysis and Mathematical Physics 1 Bulletin of Mathematical Sciences 1 Journal of Classical Analysis 1 Research in the Mathematical Sciences 1 Transactions of the American Mathematical Society. Series B all top 5 Cited in 33 Fields 127 Harmonic analysis on Euclidean spaces (42-XX) 92 Operator theory (47-XX) 78 Special functions (33-XX) 73 Quantum theory (81-XX) 55 Linear and multilinear algebra; matrix theory (15-XX) 50 Probability theory and stochastic processes (60-XX) 43 Numerical analysis (65-XX) 43 Statistical mechanics, structure of matter (82-XX) 29 Dynamical systems and ergodic theory (37-XX) 26 Functions of a complex variable (30-XX) 25 Ordinary differential equations (34-XX) 24 Approximations and expansions (41-XX) 19 Partial differential equations (35-XX) 12 Combinatorics (05-XX) 11 Difference and functional equations (39-XX) 9 Number theory (11-XX) 5 Functional analysis (46-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Group theory and generalizations (20-XX) 4 Differential geometry (53-XX) 3 Algebraic geometry (14-XX) 3 Associative rings and algebras (16-XX) 3 Integral transforms, operational calculus (44-XX) 3 Statistics (62-XX) 3 Computer science (68-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Sequences, series, summability (40-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Geometry (51-XX) Citations by Year