Spinning partial waves for scattering amplitudes in d dimensions

I Burić, F Russo, A Vichi - Journal of High Energy Physics, 2023 - Springer
A bstract Partial wave decomposition is one of the main tools within the modern S-matrix
studies. We present a method to compute partial waves for 2→ 2 scattering of spinning …

Christoffel transformations for matrix orthogonal polynomials in the real line and the non-Abelian 2D Toda lattice hierarchy

C Álvarez-Fernández, G Ariznabarreta… - International …, 2017 - academic.oup.com
Given a matrix polynomial, matrix bi-orthogonal polynomials with respect to the sesquilinear
form where is a matrix of Borel measures supported in some infinite subset of the real line …

Universal spinning Casimir equations and their solutions

I Burić, V Schomerus - Journal of High Energy Physics, 2023 - Springer
A bstract Conformal blocks are a central analytic tool for higher dimensional conformal field
theory. We employ Harish-Chandra's radial component map to construct universal Casimir …

The two-periodic Aztec diamond and matrix valued orthogonal polynomials

M Duits, ABJ Kuijlaars - Journal of the European Mathematical Society, 2020 - ems.press
We analyze domino tilings of the two-periodic Aztec diamond by means of matrix valued
orthogonal polynomials that we obtain from a reformulation of the Aztec diamond as a non …

Matrix-valued orthogonal polynomials related to (SU (2)× SU (2), diag), II

E Koelink, M Van Pruijssen, P Román - Publ. Res. Inst. Math. Sci, 2013 - ems.press
In a previous paper we have introduced matrix-valued analogues of the Chebyshev
polynomials by studying matrix-valued spherical functions on SU (2)× SU (2). In particular …

[HTML][HTML] Matrix valued Hermite polynomials, Burchnall formulas and non-abelian Toda lattice

MEH Ismail, E Koelink, P Román - Advances in Applied Mathematics, 2019 - Elsevier
A general family of matrix valued Hermite type orthogonal polynomials is introduced as the
matrix orthogonal polynomials with respect to a weight. The matrix polynomials are …

The matrix Bochner problem

WR Casper, M Yakimov - American Journal of Mathematics, 2022 - muse.jhu.edu
A long standing question in the theory of orthogonal matrix polynomials is the matrix
Bochner problem, the classification of $ N\times N $ weight matrices $ W (x) $ whose …

Matrix valued orthogonal polynomials for Gelfand pairs of rank one

G Heckman, M van Pruijssen - Tohoku Mathematical Journal …, 2020 - jstage.jst.go.jp
In this paper we study matrix valued orthogonal polynomials of one variable associated with
a compact connected Gelfand pair (G, K) of rank one, as a generalization of earlier work by …

[HTML][HTML] Matrix-valued Gegenbauer-type polynomials

E Koelink, AM de los Ríos, P Román - Constructive Approximation, 2017 - Springer
We introduce matrix-valued weight functions of arbitrary size, which are analogues of the
weight function for the Gegenbauer or ultraspherical polynomials for the parameter ν> 0 ν> …

Matrix Gegenbauer Polynomials: The Fundamental Cases

I Pacharoni, I Zurrián - Constructive Approximation, 2016 - Springer
In this paper, we exhibit explicitly a sequence of 2 * 2 2× 2 matrix valued orthogonal
polynomials with respect to a weight W_ p, n W p, n, for any pair of real numbers p and n …