Asymptotic Condition and Deficiency Indices of Difference Operators

Academic Paper from the year 2019 in the subject Mathematics - Analysis, grade: A, course: pure mathematics, language: English, abstract: Jacobi matrices together with Sturm-Liouville operators and have already been developed in parallel for many years. However not much in terms of spectral theory has been done in the discrete setting compared to the continuous version especially in higher order operators. The main objective of this study is to compute the deficiency indices of Fourth order difference operator.