Results 21 to 30 of about 40,373 (225)

Some Comments on Quasi-Birth-and-Death Processes and Matrix Measures

Journal of Probability and Statistics, 2010
We explore the relation between matrix measures and quasi-birth-and-death processes. We derive an integral representation of the transition function in terms of a matrix-valued spectral measure and corresponding orthogonal matrix polynomials.
Holger Dette, Bettina Reuther
doaj   +1 more source

Dual Szegö pairs of sequences of rational matrix-valued functions

International Journal of Mathematics and Mathematical Sciences, 2006
We study certain sequences of rational matrix-valued functions with poles outside the unit circle. These sequences are recursively constructed based on a sequence of complex numbers with norm less than one and a sequence of strictly contractive matrices.
Andreas Lasarow
doaj   +1 more source

Matrix Gegenbauer Polynomials: the $2\times 2$ Fundamental Cases [PDF]

, 2015
In this paper, we exhibit explicitly a sequence of $2\times2$ matrix valued orthogonal polynomials with respect to a weight $W_{p,n}$, for any pair of real numbers $p$ and $n$ such that ...
Pacharoni, Inés, Zurrián, Ignacio
core   +3 more sources

A matrix recurrence for systems of Clifford algebra-valued orthogonal polynomials [PDF]

, 2014
Recently, the authors developed a matrix approach to multivariate polynomial sequences by using methods of Hypercomplex Function Theory ("Matrix representations of a basic polynomial sequence in arbitrary dimension". Comput. Methods Funct.
C Carlson B., D. Eelbode, D. Peña Peña, H. R. Malonek, I Cação, I Cação, I Cação, I. Cação, M. I. Falcão, P. Appell, R Lávička, R. Lávička, R. Malonek H., S Bock, W. Hahn   +14 more
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Spectral Universality of Real Chiral Random Matrix Ensembles

, 2000
We investigate the universality of microscopic eigenvalue correlations for Random Matrix Theories with the global symmetries of the QCD partition function.
Akemann, Akemann, Akemann, Akemann, Akemann, Altland, Ambjørn, B. Klein, Banks, Beenakker, Berbenni-Bitsch, Bleher, Bohigas, Bohigas, Brézin, Brézin, Damgaard, Damgaard, Damgaard, Damgaard, Damgaard, Deift, Dyson, Dyson, Edwards, Edwards, Farchioni, Forrester, Gade, Gade, Guhr, Guhr, Göckeler, Hackenbroich, Halasz, Halasz, Hilmoine, J.J.M. Verbaarschot, Jackson, Jackson, Kanzieper, Kanzieper, Kuijlaars, Leutwyler, Mahoux, Mahoux, Mahoux, Mahoux, Mehta, Nagao, Nagao, Nagao, Nagao, Nagao, Nagao, Nishigaki, Osborn, Osborn, Osborn, Seif, Seligman, Seligman, Shuryak, Smilga, Soshnikov, Splittorff, Splittorff, Toublan, Tracy, Verbaarschot, Verbaarschot, Verbaarschot, Verbaarschot, Verbaarschot, Verbaarschot, Wettig, Widom, Widom, Wigner, Zirnbauer, Şener   +80 more
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Two variable orthogonal polynomials and structured matrices [PDF]

, 2006
30 pages, no figures.-- MSC2000 codes: 42C05, 30E05, 47A57.MR#: MR2218946 (2006m:47021)Zbl#: Zbl 1136.42305We consider bivariate real valued polynomials orthogonal with respect to a positive linear functional.
Delgado, Antonia M., Geronimo, Jeffrey S., Iliev, Plamen, Marcellán Español, Francisco José   +3 more
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A Well-Conditioned Spectral Galerkin–Levin Method for Highly Oscillatory Integrals

AppliedMath
This paper addresses the numerical evaluation of highly oscillatory integrals by developing a spectral Galerkin–Levin approach that efficiently solves Levin’s differential equation formulation for such integrals.
Viktoriya Pasternak, Heorhiy Sulym, Andrii Korniichuk, Iaroslav Pasternak   +3 more
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Time and band limiting for matrix valued functions: an integral and a commuting differential operator [PDF]

, 2017
The problem of recovering a signal of finite duration from a piece of its Fourier transform was solved at Bell Labs in the $1960$'s, by exploiting a "miracle": a certain naturally appearing integral operator commutes with an explicit differential one ...
Grünbaum, F. Alberto, Pacharoni, Inés, Zurrián, Ignacio Nahuel   +2 more
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Matrix-valued Orthogonal Polynomials Related to (SU(2)$ \times$ SU(2), diag), II [PDF]

Publications of the Research Institute for Mathematical Sciences, 2013
In a previous paper we have introduced matrix-valued analogues of the Chebyshev polynomials by studying matrix-valued spherical functions on SU(2) \times SU(2). In particular the matrix-size of the polynomials is arbitrarily large. The matrix-valued
Koelink, E., Pruijssen, M.L.A. van, Roman, P.M.   +2 more
openaire   +4 more sources

Vector-Valued Polynomials and a Matrix Weight Function with B2-Action

Symmetry, Integrability and Geometry: Methods and Applications, 2013
The structure of orthogonal polynomials on $mathbb{R}^{2}$ with the weight function $vert x_{1}^{2}-x_{2}^{2}vert ^{2k_{0}}vertx_{1}x_{2}vert ^{2k_{1}}e^{-( x_{1}^{2}+x_{2}^{2})/2}$ is based on the Dunkl operators of type $B_{2}$.
Charles F. Dunkl
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