Results 11 to 20 of about 782 (150)
Christoffel Transformation for a Matrix of Bi-variate Measures [PDF]
Complex Analysis and Operator Theory, 2019 We consider the sequences of matrix bi-orthogonal polynomials with respect to the bilinear forms ((R) over cap) and ((L) over cap) < P(z(1)), Q(z(2))((R) over cap) = (TxT)integral P(z(1))dagger L(z(1))d mu(z(1), z(2)) Q(z(2)), P, Q is an element of L-pxp[z] < P(z(1)), Q(z(2))>(L) over cap = (TxT)integral P(z(1))L(z(1))d mu(z(1), z(2))Q(z(2)), where mu ...
Juan C. García-Ardila +2 more
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Dual Szegö pairs of sequences of rational matrix-valued functions [PDF]
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
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Multiple orthogonal polynomials: Pearson equations and Christoffel formulas [PDF]
, 2022 Multiple orthogonal polynomials with respect to two weights on the step-line are considered. A connection between different dual spectral matrices, one banded (recursion matrix) and one Hessenberg, respectively, and the Gauss-Borel factorization of the ...
Mañas Baena, Manuel Enrique +4 more
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Christoffel Transformations for Matrix Orthogonal Polynomials in the Real Line and the non-Abelian 2D Toda Lattice Hierarchy [PDF]
International Mathematics Research Notices, 2016 Given a matrix polynomial $W(x)$, matrix bi-orthogonal polynomials with respect to the sesquilinear form $\langle P(x),Q(x)\rangle_W=\int P(x) W(x)\operatorname{d}μ(x)(Q(x))^{\top}$, $P(x),Q(x)\in\mathbb R^{p\times p}[x]$, where $μ(x)$ is a matrix of Borel measures supported in some infinite subset of the real line, are considered.
Álvarez Fernández, Carlos +4 more
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A geometric point of view on the synchronization of three-Christoffel words [PDF]
, 2023 International audienceWe study the synchronization of three Christoffel words (i.e.,superimposition of words with same length) from a geometric point ofview.
Vuillon, Laurent +3 more
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Spectral form factor in the τ-scaling limit
Journal of High Energy Physics, 2023 We study the spectral form factor (SFF) of general topological gravity in the limit of large time and fixed temperature. It has been observed recently that in this limit, called the tau-scaling limit, the genus expansion of the SFF can be summed up and ...
Kazumi Okuyama, Kazuhiro Sakai
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Conformal Mapping Design Tools for Coaxial Couplers with Complex Cross Section [PDF]
, 2002 Numerical conformal mapping is exploited as a simple, accurate, and efficient tool for the analysis and design of coaxial waveguides and couplers of complex cross section. An implementation based on the Schwarz-Christoffel Toolbox, a public-domain MATLAB
Ferrero, Andrea Pierenrico +2 more
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Crystals, 2022 The in-plane elastic waves in periodically multilayered isotropic structures, which are decoupled from the out-of-plane waves, are represented mainly by the frequency–wavenumber spectra and occasionally by the frequency–phase velocity spectra as well as ...
Qiangqiang Li, Yongqiang Guo, Yajun Wang
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Second order balance property on Christoffel words [PDF]
, 2019 International audienceIn this paper we study the balance matrix that gives the order of balance of any binary word. In addition, we define for Christoffel words a new matrix called second order balance matrix.
Lama Tarsissi +3 more
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ON A GENERALIZATION OF THE MAXIMUM ENTROPY THEOREM OF BURG
Revista de Matemática: Teoría y Aplicaciones, 2017 In this article we introduce some matrix manipulations that allow us to obtain a version of the original Christoffel-Darboux formula, which is of interest in many applications of linear algebra. Using these developments matrix and Jensen’s inequality, we
JOSÉ MARCANO +2 more
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