İstanbul Analiz Seminerleri
Spectral structure of Jacobi matrices and the decay bounds on the generalized eigenvectors
Sergey Naboko
University of Kent, Birleşik Krallık
Bounds on the exponential decay of generalized eigenvectors of bounded and
unbounded Jacobi (=tridiagonal) Hermitian matrices to be discussed. Their consideration
leads to the constructive examples of Jacobi operators demonstrating the spectral phase
transition behavour. No preliminary knowledge of Jacobi operators theory or orthogonal
polynomials to be required. The talk is planned as an introduction to the topic.
