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2 × 2 hypergeometric operators with diagonal eigenvalues
(Academic Press Inc Elsevier Science, 2019-12)
In this work we give all the order-two hypergeometric operators D, symmetric with respect to some 2 × 2 irreducible matrix-weight W on (0,1) such that DPn=Pnλn00μn with no repetition among the eigenvalues {λn,μn}n∈N0 , ...
Matrix valued Hermite polynomials, Burchnall formulas and non-abelian Toda lattice
(Academic Press Inc Elsevier Science, 2019-09)
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 eigenfunctions of a matrix differential equation. ...
Weak matrix majorization
(Elsevier Science Inc, 2005-07)
Given X, Y ∈ Rn×m we introduce the following notion of matrix majorization, called weak matrix majorization, X≻ w Y if there exists a row-stochastic matrix A ∈ Rn×n such that AX = Y, and consider the relations between this ...
Hyperbolicity of the Karcher mean
(Elsevier Science Inc., 2022-02)
The main concern of this paper is the Karcher mean of linearly independent triples (A,B,C) on the hyperbolic manifold of 2×2 positive definite matrices of determinant 1. We show that the Karcher mean is of the form ...
Matrix elements of irreducible representations of SU(n + 1)×SU(n + 1) and multivariable matrix-valued orthogonal polynomials
(Academic Press Inc Elsevier Science, 2020-04-15)
In Part 1 we study the spherical functions on compact symmetric pairs of arbitrary rank under a suitable multiplicity freeness assumption and additional conditions on the branching rules. The spherical functions are taking ...
The Karcher mean of linearly independent triples
(Elsevier Science Inc, 2021-02)
We present a classification of 2×2 positive definite Hermitian triples of determinant one having the Karcher mean formula [Formula presented]. We further show that it is equivalent to the trace condition: tr(AB−1)=tr(AC− ...
Matrix-valued orthogonal polynomials related to the quantum analogue of (SU (2) × SU (2) , diag)
(Springer, 2017-06)
Matrix-valued spherical functions related to the quantum symmetric pair for the quantum analogue of (SU (2) × SU (2) , diag) are introduced and studied in detail. The quantum symmetric pair is given in terms of a quantised ...
Generalized apostol-type polynomial matrix and its algebraic properties
(Mathematical Reports, 2019)
Euler matrices and their algebraic properties revisited
(Applied Mathematics and Information Sciences, 2020)
Conformational and structural analysis of 2-allyl-1,2-benzisothiazol-3(2H)-one 1,1-dioxide as probed by matrix-isolation spectroscopy and quantum chemical calculations
(Elsevier Science, 2009-02)
2-Allyl-1,2-benzisothiazol-3(2H)-one 1,1-dioxide (ABIOD) has been studied by matrix-isolation infrared spectroscopy and quantum chemical calculations. A conformational search on the B3LYP/6-311++G(3df,3pd) potential energy ...