On the generalized Riemann-Hilbert problem with irregular singularities

Details On the generalized Riemann-Hilbert problem with irregular singularities On the generalized Riemann-Hilbert problem with irregular singularities

2004-10-22

arxiv.org/abs/math/0410483v1

Mathematics

Classical Analysis and ODEs

Scientific paper

We give sufficient conditions, on data including the monodromy representation, the Stokes matrices and the Poincare ranks at prescribed singularities, to solve the generalized Riemann-Hilbert problem with irregular singularities. We recover in particular the irreducibility condition on the monodromy given by Bolibrukh and Kostov in the classical case. We apply the above criteria to solve the inverse problem in differential Galois theory with a better control of the singularities.

Affiliated with

Also associated with

No associations

Rating

On the generalized Riemann-Hilbert problem with irregular singularities 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 On the generalized Riemann-Hilbert problem with irregular singularities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the generalized Riemann-Hilbert problem with irregular singularities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-425143