Mathematics – Analysis of PDEs
Scientific paper
2011-04-04
Mathematics
Analysis of PDEs
Scientific paper
We obtain matrix-valued Jost asymptotics for block Jacobi matrices under an L1-type condition on Jacobi parameters, and give a necessary and sufficient condition for an analytic matrix-valued function to be the Jost function of a block Jacobi matrix with exponentially converging parameters. This establishes the matrix-valued analogue of Damanik-Simon-II paper [6]. The above results allow us to fully characterize the matrix-valued Weyl-Titchmarsh m-functions of block Jacobi matrices with exponentially converging parameters.
No associations
LandOfFree
Jost asymptotics for matrix orthogonal polynomials on the real line 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 Jost asymptotics for matrix orthogonal polynomials on the real line, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Jost asymptotics for matrix orthogonal polynomials on the real line will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-317194