Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4607863 | Journal of Approximation Theory | 2009 | 23 Pages |
Abstract
For a two-parameter family of Jacobi matrices exhibiting first-order spectral phase transitions, we prove discreteness of the spectrum in the positive real axis when the parameters are in one of the transition boundaries. To this end, we develop a method for obtaining uniform asymptotics, with respect to the spectral parameter, of the generalized eigenvectors. Our technique can be applied to a wide range of Jacobi matrices.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Serguei Naboko, Irina Pchelintseva, Luis O. Silva,