New Estimate for the Spectral Function of Self-Adjoint Extension in L2(U) of the Sturm-Liouville Operator with a Uniformly Locally Summable Potential

摘要

In the space L2(R), we consider a self-adjoint extension i of the Sturm-Liouville operator ly = -y" + q(x)y, whose potential q is uniformly locally summable on K, i.e., satisfies the condition ω(h)=sup x∈R ∫x+h x |q(t)|dt<+∞, h>0. (1)