The global parametrix in the Riemann-Hilbert steepest descent analysis for orthogonal polynomials - Mathematics > Classical Analysis and ODEsReport as inadecuate




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Abstract: In the application of the Deift-Zhou steepest descent method to theRiemann-Hilbert problem for orthogonal polynomials, a model Riemann-Hilbertproblem that appears in the multi-cut case is solved with the use ofhyperelliptic theta functions. We present here an alternative approach whichuses meromorphic differentials instead of theta functions to construct thesolution of the model Riemann-Hilbert problem.



Author: Arno Kuijlaars, Man Yue Mo

Source: https://arxiv.org/







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