Singular Point-like Perturbations of the Bessel Operator in a Pontryagin Space

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Titchmarsh–Weyl m ‐functions for second‐order Sturm–Liouville problems with two singular endpoints (2008, methodology): “Shondin [9] have given a proof of the above eigenfunction expansion for ν > 1 by making use of operator realizations which are self-adjoint in a Pontryagin space Πm with negative index m.”
On spectral theory for Schrödinger operators with strongly singular potentials (2005, background): “, to [11], [18], [20], [21], [68] and the references therein).”
An Operator Theoretic Interpretation of the Generalized Titchmarsh-Weyl Coefficient for a Singular Sturm-Liouville Problem (2011, methodology): “Remark 6 In case q1 = 0 and α+ − α− )∈ Neven a modified Hankel transform was applied to the problem in [12], and then these statements become obvious.”
Sturm-Liouville Operators with Singularities and Generalized Nevanlinna Functions (2010, methodology): “For the Bessel differential equation, by an approach which is different from the one in [10], it was shown in [27] and further studied in [7], that there is an associated generalized Nevanlinna function (and this function coincides with the Titchmarsh-Weyl function from [10] or from the present pape”