English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

Bounds on the exponential decay of generalized eigenfunctions of bounded andunbounded selfadjoint Jacobi matrices are established. Two cases are consideredseparately: (i) the case in which the spectral parameter lies in a general gapof the spectrum of the Jacobi matrix and (ii) the case of a lower semi-boundedJacobi matrix with values of the spectral parameter below the spectrum. It isdemonstrated by examples that both results are sharp.  We apply these results to obtain a "many barriers-type" criterion for theexistence of square-summable generalized eigenfunctions of an unbounded Jacobimatrix at almost every value of the spectral parameter in suitable open sets.As an application, we provide examples of unbounded Jacobi matrices with aspectral mobility edge.

Decay bounds on eigenfunctions and the singular spectrum of unbounded Jacobi matrices