5 papers · 1 filter
An Askey-Type Confluence Scheme for Hahn-Like Multiple Orthogonality
Manuel Mañas
We embed the Jacobi-like and Laguerre-like systems for ordinary type-I/type-II multiple orthogonality introduced by Wolfs into a single Askey-type confluence scheme. Applying the B…
Positive Bidiagonal Factorizations for Banded Markov Processes
Manuel Mañas
An ordered positive bidiagonal factorization (PBF) is used to develop a spectral and probabilistic theory for Markov transition matrices of arbitrary finite bandwidth. The factors…
Bessel-Like Multiple Orthogonal Polynomials of Mixed Type
Manuel Mañas
This article constructs a Bessel-like family of mixed-type multiple orthogonal polynomials for a matrix weight on the unit circle. Unlike a rank-one product weight, thi…
Unbounded banded matrices, shifted positive bidiagonal factorizations, and mixed-type multiple orthogonality
Amílcar Branquinho, Ana Foulquié-Moreno, Manuel Mañas
This work extends Favard-type spectral representations for banded matrices beyond the bounded setting. It assumes that, for every , there exists a shift $s_N\g…
Spectral theory for Markov chains with transition matrix admitting a stochastic bidiagonal factorization
Amílcar Branquinho, Ana Foulquié-Moreno, Manuel Mañas
The recently established spectral Favard theorem for bounded banded matrices admitting a positive bidiagonal factorization is applied to a broader class of Markov chains with bound…