2000 character limit reached
On Direct Integral Expansion for Periodic Block-Operator Jacobi Matrices and Applications
Published 19 Sep 2018 in math.SP and math.CA | (1809.07136v4)
Abstract: We construct a functional model (direct integral expansion) and study the spectra of certain periodic block-operator Jacobi matrices, in particular, of general 2D partial difference operators of the second order. We obtain the upper bound, optimal in a sense, for the Lebesgue measure of their spectra. The examples of the operators for which there are several gaps in the spectrum are given.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.
