The Jacobi Operator on $$(-1,1)$$ and Its Various m-Functions
Fritz Gesztesy,
Lance L. Littlejohn,
Mateusz Piorkowski
et al.
Abstract:We offer a detailed treatment of spectral and Weyl–Titchmarsh–Kodaira theory for all self-adjoint Jacobi operator realizations of the differential expression $$\begin{aligned} \tau _{\alpha ,\beta } =&- (1-x)^{-\alpha } (1+x)^{-\beta }(d/dx) \big ((1-x)^{\alpha +1}(1+x)^{\beta +1}\big ) (d/dx), \\&\alpha , \beta \in {\mathbb {R}}, \, x \in (-1,1), \end{aligned}$$
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