Results 11 to 20 of about 81 (50)

Matrix interpretation of multiple orthogonality [PDF]

, 2010
In this work we give an interpretation of a (s(d + 1) + 1)-term recurrence relation in terms of type II multiple orthogonal polynomials.We rewrite this recurrence relation in matrix form and we obtain a three-term recurrence relation for vector ...
A Bultheel, A Bultheel, A Bultheel, AI Aptekarev, AI Aptekarev, AJ Durán, Amílcar Branquinho, Ana Foulquié Moreno, B Beckermann, B Beckermann, B Beckermann, D Barrios Rolanía, DW Lee, EM Nikishin, J Arvesú, J Bustamante, J Coussement, J Iseghem Van, K Douak, Luis Cotrim, M Barel Van, MEH Ismail, P Maroni, P Maroni, SK Burley, V Kaliaguine, VN Sorokin, W Assche Van, W Assche Van, WD Evans   +29 more
core   +2 more sources

Dynamics and interpretation of some integrable systems via matrix orthogonal polynomials [PDF]

, 2016
In this work we characterize a high-order Toda lattice in terms of a family of matrix polynomials orthogonal with respect to a complex matrix measure.
A. Branquinho, A. Foulquié Moreno, A. Mendes, Aptekarev A, Berezanskii Yu, Nikishin E, Vilenkin N Ya   +6 more
core   +1 more source

On the Cauchy Problem for a Linear Harmonic Oscillator with Pure Delay [PDF]

, 2014
In the present paper, we consider a Cauchy problem for a linear second order in time abstract differential equation with pure delay. In the absence of delay, this problem, known as the harmonic oscillator, has a two-dimensional eigenspace so that the ...
Azizbayov, Elvin, Khusainov, Denys, Pokojovy, Michael   +2 more
core   +4 more sources

Diagonal common quadratic Lyapunov functions for sets of positive LTI systems

, 2014
This paper focuses on the problems of a diagonal common quadratic Lyapunov function (DCQLF) existence for sets of stable positive linear time-invariant (LTI) systems.
Xiuyong Ding, L. Shu, Xiu Liu
semanticscholar   +1 more source

On Cauchy-type functional equations

International Journal of Mathematics and Mathematical Sciences, 2004
consider the functional equationsG f (xty)dµ(t) = n=1 gi(x)hi(y), x, y ∈ G, where the functions f , {gi}, {hi}: G → C to be determined are bounded and continuous functions on G.
E. Elhoucien, M. Akkouchi
semanticscholar   +1 more source

Jensen's functional equation on the symmetric group $\bold{S_n}$

, 2011
Two natural extensions of Jensen's functional equation on the real line are the equations $f(xy)+f(xy^{-1}) = 2f(x)$ and $f(xy)+f(y^{-1}x) = 2f(x)$, where $f$ is a map from a multiplicative group $G$ into an abelian additive group $H$.
C.T. Ng, C.T. Ng, C.T. Ng, C.T. Ng, Công-Trình Lê, M. Suzuki, Trung-Hiêu Thái   +6 more
core   +1 more source

A result concerning two-sided centralizers on algebras with involution

, 2013
The purpose of this paper is to prove the following result. Let X be a complex Hilbert space, let L (X) be the algebra of all bounded linear operators on X and let A (X)⊂ L (X) be a standard operator algebra, which is closed under the adjoint operation ...
Nejc Širovnik, J. Vukman
semanticscholar   +1 more source

The Luk\'{a}cs--Olkin--Rubin theorem on symmetric cones [PDF]

, 2014
In this paper we prove a Luk\'{a}cs type characterization theorem of the Wishart distribution on Euclidean simple Jordan algebras under weak regularity assumptions (e.g.
Gselmann, Eszter
core  

The Q-operator and Functional Relations of the Eight-vertex Model at Root-of-unity $\eta = \frac{2m K}{N}$ for odd N

, 2007
Following Baxter's method of producing Q_{72}-operator, we construct the Q-operator of the root-of-unity eight-vertex model for the crossing parameter $\eta = \frac{2m K}{N}$ with odd $N$ where Q_{72} does not exist.
Albertini G, Baxter R J, Date E, Deguchi T, Deguchi T, Fabricius K, Fabricius K, Fabricius K, Fabricius K, Fabricius K McCoy B M, Roan S S, Roan S S, Roan S S, Roan S S, Roan S S, Shi-shyr Roan, Takhtadzhan L A   +16 more
core   +1 more source

Relative asymptotics for orthogonal matrix polynomials [PDF]

, 2010
In this paper we study sequences of matrix polynomials that satisfy a non-symmetric recurrence relation. To study this kind of sequences we use a vector interpretation of the matrix orthogonality.
Branquinho, A., Marcellán, F., Mendes, A.   +2 more
core   +1 more source