This paper initially considers a class of unbounded Jacobi matrices defined by an increasing sequence of repeated weights. Spectral parameters are then introduced in various ways to allow the authors to study the nature and location of the spectrum as a function of these parameters.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm152-3-2, author = {Joanne Dombrowski and Steen Pedersen}, title = {Spectral transition parameters for a class of Jacobi matrices}, journal = {Studia Mathematica}, volume = {151}, year = {2002}, pages = {217-229}, zbl = {1001.47017}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm152-3-2} }
Joanne Dombrowski; Steen Pedersen. Spectral transition parameters for a class of Jacobi matrices. Studia Mathematica, Tome 151 (2002) pp. 217-229. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm152-3-2/