1 citations · 3 across the 8 of their papers we have counts for
8 papers
Sum rules and Simon spectral gem problem on higher order Szegő theorems
Zhihua Du
In this work, we give a formula for coefficients of orthogonal polynomials on the unit circle. By using this formula, a new and computable approach is provided for sum rules which…
Schwarz boundary value problems for polyanalytic equation in a sector ring
Zhihua Du, Ying Wang, Min Ku
In this article,we first give a modified Schwarz-Pompeiu formula in a general sector ring by proper conformal mappings, and obtain the solution of the Schwarz problem for the Cauch…
Orthogonal trigonometric polynomials from Riemann-Hilbert view
Zhihua Du
In this work, some theorems are established for orthogonal trigonometric polynomials (OTP) including Favard, Baxter, Geronimus, Rakhmanov, Szegö and the strong Szegö theorems which…
polyharmonic Robin problems on Lipschitz domains
Weifeng Li, Pei Dang, Zhihua Du +2
In this paper, we study a class of boundary value problems (BVPs) with Robin conditions in some spaces for polyharmonic equation on Lipschitz domains. Utilizing polyharmonic…
An inhomogeneous polyharmonic Dirichlet problem with boundary data in the upper half-plane
Kanda Pan, Guoan Guo, Zhihua Du
In this paper, it is investigated for an inhomogeneous Dirichlet problem with boundary data for polyharmonic equation in the upper half-plane. By using higher order Poisson k…
Higher order Poisson Kernels and polyharmonic boundary value problems in Lipschitz domains
Zhihua Du
In this article, we introduce higher order conjugate Poisson and Poisson kernels, which are higher order analogues of the classical conjugate Poisson and Poisson kernels, as well a…
Favard, Baxter, Geronimus, Rakhmanov, Szegö and the strong Szegö theorems for orthogonal trigonometric polynomials
Zhihua Du
In this paper, we obtain some analogs of Favard, Baxter, Geronimus, Rakhmanov, Szegö and the strong Szegö theorems appeared in the theory of orthogonal polynomials on the unit circ…
Orthogonal Trigonometric Polynomials: Riemann-Hilbert Analysis and Relations with OPUC
Jinyuan Du, Zhihua Du
In this paper, we study the theory of orthogonal trigonometric polynomials (OTP). We obtain asymptotics of OTP with positive and analytic weight functions by Riemann-Hilbert approa…