bibkey: derkachkovalyov2017indefinitestieltjes authors: Vladimir Derkach and Ivan Kovalyov year: 2017 title: An operator approach to the indefinite Stieltjes moment problem doi: 10.1007/s10958-017-3573-3 claim: Generalized Stieltjes classes separate the negative-square index of a Nevanlinna function from the index of its coordinate-localized transform zf. strata_touched:
- D5/S3/Weil/Pick/LocalizedStieltjesNevanlinnaKernel license: citation-only triage: anchor
An operator approach to the indefinite Stieltjes moment problem
Derkach and Kovalyov define the generalized Nevanlinna class by the number of
negative squares of the Nevanlinna kernel. Their generalized Stieltjes class
records two indices: one for a function f and one for the coordinate-localized
function z f(z). This is the mature operator-theoretic source for separating
mass positivity from support-localized positivity in the finite atomic model.
The present formalization uses only the one-atom algebraic identity. It does not formalize the paper’s Pontryagin-space operator model, Schur algorithm, moment problem, Padé approximation, or realization theory.
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generalized Stieltjes functions negative squares z f generalized Nevanlinna classand found the 2017 journal article together with the exact definitionf in N_kappaandz f in N_k. - 2026-09-02: Queried the title and DOI. The journal record verified the
authors, pages 33-67, volume 227, and DOI
10.1007/s10958-017-3573-3. - 2026-09-02: Queried related primary preprints and found the authors’ Schur
algorithm paper
arXiv:1606.03371and full indefinite moment treatmentarXiv:2002.07456.
Verified locator
- DOI: https://doi.org/10.1007/s10958-017-3573-3
- Journal metadata and abstract: https://journals.rcsi.science/1072-3374/article/view/240089
- Related Schur-algorithm preprint: https://arxiv.org/abs/1606.03371
- Related full-problem preprint: https://arxiv.org/abs/2002.07456