Paper Citation Record · LEDGER

Explicit Krein Resolvent Identities for Singular Sturm-Liouville Operators with Applications to Bessel Operators

As of 16 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:1908.05392.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1908.05392 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:29:47.871314Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

26 of 26 outbound references displayed

verified exact0
verified fuzzy18
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 70ad3b26-c9f3-4944-801a-b8ef541f5e94 · outbound

This paper cites Abramowitz and I.

Explicit Krein Resolvent Identities for Singular Sturm-Liouville Operators with Applications to Bessel Operators Abramowitz and I

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:29:48.777932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 18756d88-1c5c-42c9-b9f4-7584a1b335e6 · outbound

This paper cites an unresolved cited work.

Explicit Krein Resolvent Identities for Singular Sturm-Liouville Operators with Applications to Bessel Operators Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:29:48.747055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 46dd007a-0aa7-4c1d-b32b-661ebab9c6c7 · outbound

This paper cites Alonso and B.

Explicit Krein Resolvent Identities for Singular Sturm-Liouville Operators with Applications to Bessel Operators Alonso and B

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:29:48.719255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d09a1e07-86ed-4b4b-8d17-b3db6b6b574f · outbound

This paper cites Ananieva and V.

Explicit Krein Resolvent Identities for Singular Sturm-Liouville Operators with Applications to Bessel Operators Ananieva and V

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:29:48.698180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f0000c0b-9d93-4e83-a6e3-e5bbe3820807 · outbound

This paper cites an unresolved cited work.

Explicit Krein Resolvent Identities for Singular Sturm-Liouville Operators with Applications to Bessel Operators Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:29:48.667479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7bb3d50e-390f-462e-864b-568986e44960 · outbound

This paper cites Ando and K.

Explicit Krein Resolvent Identities for Singular Sturm-Liouville Operators with Applications to Bessel Operators Ando and K

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:29:48.639405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b3c0fa82-52c4-416d-b280-c235721d2230 · outbound

This paper cites Ashbaugh, F.

Explicit Krein Resolvent Identities for Singular Sturm-Liouville Operators with Applications to Bessel Operators Ashbaugh, F

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:29:48.618340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f80d7443-9383-445e-9813-d6c6a87bc502 · outbound

This paper cites Bruneau, J.

Explicit Krein Resolvent Identities for Singular Sturm-Liouville Operators with Applications to Bessel Operators Bruneau, J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:29:48.581511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 22964f64-5443-48e1-ba26-446d81e32ed2 · outbound

This paper cites Clark, F.

Explicit Krein Resolvent Identities for Singular Sturm-Liouville Operators with Applications to Bessel Operators Clark, F

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:29:48.548126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6ee99722-9967-44d5-8a2a-074dd391bf00 · outbound

This paper cites Derezi´ nski and S.

Explicit Krein Resolvent Identities for Singular Sturm-Liouville Operators with Applications to Bessel Operators Derezi´ nski and S

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:29:48.511857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9d771def-522c-4f14-a2a6-d3690c10f68d · outbound

This paper cites Eckhardt, F.

Explicit Krein Resolvent Identities for Singular Sturm-Liouville Operators with Applications to Bessel Operators Eckhardt, F

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:29:48.481822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 70f31af4-41e4-4cf4-b06c-fb2a6aaab22d · outbound

This paper cites an unresolved cited work.

Explicit Krein Resolvent Identities for Singular Sturm-Liouville Operators with Applications to Bessel Operators Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:29:48.434551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b6c23245-58a5-441b-9d1d-100835d8c814 · outbound

This paper cites an unresolved cited work.

Explicit Krein Resolvent Identities for Singular Sturm-Liouville Operators with Applications to Bessel Operators Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:29:48.413935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0217b45e-5ec6-4f28-adbe-68e2890bbc78 · outbound

This paper cites Gesztesy, Y.

Explicit Krein Resolvent Identities for Singular Sturm-Liouville Operators with Applications to Bessel Operators Gesztesy, Y

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:29:48.380025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e34e0deb-5378-4e22-8fd9-5e4de6df6610 · outbound

This paper cites Gesztesy, L.

Explicit Krein Resolvent Identities for Singular Sturm-Liouville Operators with Applications to Bessel Operators Gesztesy, L

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:29:48.347231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6f0ecd22-ff2a-4584-862e-8c73c253d103 · outbound

This paper cites Gesztesy and B.

Explicit Krein Resolvent Identities for Singular Sturm-Liouville Operators with Applications to Bessel Operators Gesztesy and B

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:29:48.294131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1a28d11a-de8f-4126-aee2-44c2ab74b348 · outbound

This paper cites Gesztesy and E.

Explicit Krein Resolvent Identities for Singular Sturm-Liouville Operators with Applications to Bessel Operators Gesztesy and E

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:29:48.258634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e7b13bd3-c500-4236-a031-41ae408e63c7 · outbound

This paper cites Kirsten, P.

Explicit Krein Resolvent Identities for Singular Sturm-Liouville Operators with Applications to Bessel Operators Kirsten, P

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:29:48.227006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d3d8b5ce-2710-4db6-8200-9e75b4282486 · outbound

This paper cites an unresolved cited work.

Explicit Krein Resolvent Identities for Singular Sturm-Liouville Operators with Applications to Bessel Operators Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:29:48.194956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation dad4fb67-6fe4-4036-bd14-ff7e851e3ad3 · outbound

This paper cites an unresolved cited work.

Explicit Krein Resolvent Identities for Singular Sturm-Liouville Operators with Applications to Bessel Operators Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:29:48.165740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8c82abb9-1ef8-4aa1-b52f-d4fc7767b3c8 · outbound

This paper cites Reed and B.

Explicit Krein Resolvent Identities for Singular Sturm-Liouville Operators with Applications to Bessel Operators Reed and B

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:29:48.136222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation fcd4bb57-6580-4019-b809-3240839cbfb5 · outbound

This paper cites Schm¨ udgen,Unbounded Self-Adjoint Operators on Hilbert Space, Graduate Texts in Math- ematics, Springer, New York, 2012.

Explicit Krein Resolvent Identities for Singular Sturm-Liouville Operators with Applications to Bessel Operators Schm¨ udgen,Unbounded Self-Adjoint Operators on Hilbert Space, Graduate Texts in Math- ematics, Springer, New York, 2012

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:29:48.097604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f32221b5-6d78-4cca-ae0a-7a0a6602c0c6 · outbound

This paper cites Teschl, Mathematical Methods in Quantum Mechanics.

Explicit Krein Resolvent Identities for Singular Sturm-Liouville Operators with Applications to Bessel Operators Teschl, Mathematical Methods in Quantum Mechanics

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:29:48.065172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3d2cf075-6a8f-49dc-95ac-ed44e38d44ed · outbound

This paper cites an unresolved cited work.

Explicit Krein Resolvent Identities for Singular Sturm-Liouville Operators with Applications to Bessel Operators Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:29:48.012029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation afd83c94-2503-4d6e-b98e-978ef7bdbcc6 · outbound

This paper cites an unresolved cited work.

Explicit Krein Resolvent Identities for Singular Sturm-Liouville Operators with Applications to Bessel Operators Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:29:47.976252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b2280420-dc92-40b2-8de9-02043e18f462 · outbound

This paper cites Zettl, Sturm–Liouville Theory , Mathematical Surveys and Monographs, Vol.

Explicit Krein Resolvent Identities for Singular Sturm-Liouville Operators with Applications to Bessel Operators Zettl, Sturm–Liouville Theory , Mathematical Surveys and Monographs, Vol

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:29:47.948358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

No inbound Pith citation observations are available.