In this paper we study a Jacobi block matrix and the behavior of the limit of its entries when a perturbation of its spectral matrix measure by the addition of a Dirac delta matrix measure is introduced.
Givetl a positive definite matrix measure (J supported on the unit circle T. then main purpose of this paper is to study the asymptotic behavior of L.(ll)L.({J)-1 and 4).(z;ll)4).(z,{J)-1 where.n(z) = (J(z)
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.