TY - JOUR AU - Ariznabarreta, Gerardo AU - MaƱas Baena, Manuel Enrique PY - 2016 DO - 10.1016/j.aim.2016.06.029 SN - 0001-8708 UR - https://hdl.handle.net/20.500.14352/17560 T2 - Advances in mathematics AB - Multivariate orthogonal polynomials in D real dimensions are considered from the perspective of the Cholesky factorization of a moment matrix. The approach allows for the construction of corresponding multivariate orthogonal polynomials, associated... LA - eng M2 - 628 PB - Elsevier KW - Multivariate orthogonal polynomials KW - Borel-Gauss factorization KW - Quasi-determinants KW - Christoffel-Darboux kernels KW - Darboux transformations KW - Christoffel formula KW - Quasi-tau matrices KW - Kernel polynomials KW - Integrable hierarchies KW - Toda equations KW - KP equations TI - Multivariate orthogonal polynomials and integrable systems TY - journal article VL - 302 ER -