Matrix biorthogonal polynomials on the real line: Geronimus transformations

Matrix biorthogonal polynomials on the real line: Geronimus transformations

In this paper, Geronimus transformations for matrix orthogonal polynomials in the real line are studied. The orthogonality is understood in a broad sense, and is given in terms of a nondegenerate continuous sesquilinear form, which in turn is determined by a quasi-definite matrix of bivariate genera...

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Bibliographic Details
Main Authors: Gerardo Ariznabarreta, Juan C. García-Ardila, Manuel Mañas, Francisco Marcellán
Format: Article
Language:English
Published: World Scientific Publishing 2019-08-01
Series:Bulletin of Mathematical Sciences
Subjects:
Matrix biorthogonal polynomials
spectral theory of matrix polynomials
quasi-definite matrix of generalized kernels
nondegenerate continuous sesquilinear forms
Gauss–Borel factorization
matrix Geronimus transformations
matrix linear spectral transformations
Christoffel-type formulas
quasideterminants
spectral jets
unimodular matrix polynomials
Online Access:http://www.worldscientific.com/doi/pdf/10.1142/S1664360719500073

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http://www.worldscientific.com/doi/pdf/10.1142/S1664360719500073

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