Results 121 to 130 of about 72,141 (252)

Matrix Jacobi biorthogonal polynomials via Riemann–Hilbert problem

, 2023
We consider matrix orthogonal polynomials related to Jacobi type matrices of weights that can be defined in terms of a given matrix Pearson equation. Stating a Riemann–Hilbert problem we can derive first and second order differential-difference relations
Mañas, Manuel, Amílcar Branquinho, Foulquié-Moreno, Ana, Assil Fradi, Manuel Mañas, Fradi, Assil, Ana Foulquié-Moreno, Branquinho, Amílcar   +7 more
core   +1 more source

A Riemann-Hilbert problem from stability conditions

, 2019
Given an algebra $A$ and a set of automorphisms, one can define a Riemann-Hilbert (RH) problem, aimed to find meromorphic connections on the $\mathrm{Aut}(A)$-principl bundle over $\bC$ with prescribed generalised monodromy.
Barbieri, Anna
core  

Matrix Riemann–Hilbert problems and factorization on Riemann surfaces

, 2008
The Wiener–Hopf factorization of 2×2 matrix functions and its close relation to scalar Riemann–Hilbert problems on Riemann surfaces is investigated. A family of function classes denoted C(Q1,Q2) is defined.
Pedro F. dos Santos, A.F. dos Santos, Câmara, M.C., dos Santos, Pedro F., M.C. Câmara, dos Santos, A.F.   +5 more
core   +1 more source

Riemann-Hilbert problems for multiple orthogonal polynomials

, 2001
In the early nineties, Fokas, Its and Kitaev observed that there is a natural Riemann-Hilbert problem (for 2x2 matrix functions) associated which a system of orthogonal polynomials. This Riemann-Hilbert problem was later used by Deift et al.
Kuijlaars, Arno, Geronimo, Jeffrey S., Van Assche, Walter   +2 more
core  

Riemann-Hilbert analysis for a Nikishin system

, 2018
In this paper we give the asymptotic behavior of type I multiple orthogonal polynomials for a Nikishin system of order two with two disjoint intervals.
López Lagomasino, Guillermo, Van Assche, Walter   +1 more
core   +1 more source

The Riemann-Hilbert problem approach to the short pulse equation

, 2022
We consider the adaptation of the inverse scattering transform method, in the form of a Riemann-Hilbert factorization problem, to the study of the Cauchy problem for the shortpulse equation u_xt = u + (1/6)(u^3)_ xx. It is shown that the solution of this
Zielinski, Lech, Tiurdio, A, Shepelsky, D   +2 more
core  

Dynamical Behavior Analysis of Generalized Chen–Lee–Liu Equation via the Riemann–Hilbert Approach

Fractal and Fractional
In this paper, we investigate the dynamics of the generalized Chen–Lee–Liu (gCLL) equation utilizing the Riemann–Hilbert method to derive its N-soliton solution.
Wenxia Chen, Chaosheng Zhang, Lixin Tian
doaj   +1 more source

Exact solutions for a class of matrix Riemann-Hilbert problems

, 2011
Consider the matrix Riemann-Hilbert problem. In contrast to scalar Riemann-Hilbert problems, a general matrix Riemann-Hilbert problem cannot be solved in term of Sokhotskyi-Plemelj integrals.
Kucerovsky, ., Najafabadi, Amir T. Payandeh   +1 more
core  

ON THE DISCONTINUOUS RIEMANN-HILBERT PROBLEM

Demonstratio Mathematica, 1970
Łubowicz, Henryk, Wieprzkowicz, Bohdan
openaire   +2 more sources

Faithfulness of actions on Riemann-Roch spaces

, 2015
Given a faithful action of a finite group G on an algebraic curve X of genus g > 1, we give explicit criteria for the induced action of G on the Riemann-Roch space H^0(X,O_X(D)) to be faithful, where D is a G-invariant divisor on X of degree at least ...
Koeck, Bernhard, Tait, Joseph
core   +1 more source