The global parametrix in the Riemann-Hilbert steepest descent analysis for orthogonal polynomials

Details The global parametrix in the Riemann-Hilbert steepest descent analysis for orthogonal polynomials The global parametrix in the Riemann-Hilbert steepest descent analysis for orthogonal polynomials

2009-09-30

arxiv.org/abs/0909.5626v2

Computational Methods and Function Theory 11 (2011), 161--178

Mathematics

Classical Analysis and ODEs

22 pages, 1 figure, to appear in Computational Methods and Function Theory

Scientific paper

In the application of the Deift-Zhou steepest descent method to the Riemann-Hilbert problem for orthogonal polynomials, a model Riemann-Hilbert problem that appears in the multi-cut case is solved with the use of hyperelliptic theta functions. We present here an alternative approach which uses meromorphic differentials instead of theta functions to construct the solution of the model Riemann-Hilbert problem.

Affiliated with

Also associated with

No associations

Rating

The global parametrix in the Riemann-Hilbert steepest descent analysis for orthogonal polynomials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The global parametrix in the Riemann-Hilbert steepest descent analysis for orthogonal polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The global parametrix in the Riemann-Hilbert steepest descent analysis for orthogonal polynomials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-590269