2025/09/08 by Jussi Behrndt, Fritz Gesztesy, Behrndt, Jussi +7
Mathematics · #Spectral Theory in Mathematical Physics #Holomorphic and Operator Theory #Algebraic and Geometric Analysis
paper · pdf · doi:10.48550/arxiv.2509.07205
Any self-adjoint extension of a (singular) Sturm-Liouville operator bounded from below uniquely leads to an associated sesquilinear form. This form is characterized in terms of principal and nonprincipal solutions of the Sturm-Liouville operator by using generalized boundary values. We provide these forms in detail in all possible cases (explicitly, when both endpoints are limit circle, when one endpoint is limit circle, and when both endpoints are limit point).