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Paper Citation Record · LEDGER

Equations of the first kind and the inversion of series of resolvents of a closed operator

As of 16 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:1908.02998.

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

pith.paper-citation-record.v1
1908.02998 v2

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:38:30.905161Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

21 of 21 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c64af692-8ac6-4676-99cc-e867d1e2ed0f · outbound

This paper cites Рассмотрим следующее интегральное уравнение первого рода в пространс тве Lp(R) (1 ≤ p < ∞): ∫ ∞ t k(s − t)x(s)ds = y(t).

Equations of the first kind and the inversion of series of resolvents of a closed operator Рассмотрим следующее интегральное уравнение первого рода в пространс тве Lp(R) (1 ≤ p < ∞): ∫ ∞ t k(s − t)x(s)ds = y(t)

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:38:31.871936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:38:30.394507Z digest=sha256:73641e6b918837060710f0ee6a762dad01125625c81094b65cb329d949f5f002

Observation 5caf39e5-2438-4e2d-992b-181e46767acd · outbound

This paper cites Пусть {αj} /emdash.cyr не более чем счетное подмножествоC, A /emdash.cyr плотно определенный замкнутый оператор в комплексном бана ховом пространстве X.

Equations of the first kind and the inversion of series of resolvents of a closed operator Пусть {αj} /emdash.cyr не более чем счетное подмножествоC, A /emdash.cyr плотно определенный замкнутый оператор в комплексном бана ховом пространстве X

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:38:31.775562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:38:30.402138Z digest=sha256:80e3387790773aaab1037b3eb0bcab926ac5fcdcecbda72c2b8bb04eda0a1534

Observation 93612d8c-f4e2-4666-9f7a-1b10c4c7b5c1 · outbound

This paper cites an unresolved cited work.

Equations of the first kind and the inversion of series of resolvents of a closed operator Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:38:31.607649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:38:30.412604Z digest=sha256:a85ff59000bf506e9e52310836944156dd995f13ae387250a63a06737668a89e

Observation c53b6f12-7e39-4666-a1d9-41c790a3ddc2 · outbound

This paper cites an unresolved cited work.

Equations of the first kind and the inversion of series of resolvents of a closed operator Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:38:31.553004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:38:30.653390Z digest=sha256:e937ac289040ceed5408dda805bf0a83a7b62bc9ea46e97644eba6d66089ab9e

Observation 9829a330-26ae-4faa-8a35-34ec2ec85826 · outbound

This paper cites К., Васин В.

Equations of the first kind and the inversion of series of resolvents of a closed operator К., Васин В

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:38:31.595254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:38:30.418842Z digest=sha256:f460ec6b91d795335e8fb29593995a2ddd58bc57232968c0934db1f9f704e197

Observation ea6e6550-a8d1-4167-b332-3931926cefad · outbound

This paper cites М., Романов В.

Equations of the first kind and the inversion of series of resolvents of a closed operator М., Романов В

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:38:31.580136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:38:30.423617Z digest=sha256:e465ca4264c36583b6546c4be5427488bc7790462ee5f46917073d753cc64da3

Observation def19f48-360e-4348-a713-1305c0910635 · outbound

This paper cites an unresolved cited work.

Equations of the first kind and the inversion of series of resolvents of a closed operator Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:38:31.566475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:38:30.577415Z digest=sha256:d77d47d57c12a11ce4fcff8ae55a9bb93e5eef13409f23ce3bf6f27bc43efb6b

Observation 1d36f596-0f09-45d7-b1b4-76237e4c2d1f · outbound

This paper cites an unresolved cited work.

Equations of the first kind and the inversion of series of resolvents of a closed operator Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:38:31.355870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:38:30.688814Z digest=sha256:6130927b12ac4fdf152636aed3187ae90c697a1a74ad2334eaab4cd4936ab974

Observation f1decc7e-e287-40c7-892c-520833cb983a · outbound

This paper cites an unresolved cited work.

Equations of the first kind and the inversion of series of resolvents of a closed operator Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:38:31.539737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:38:30.674678Z digest=sha256:520afe0052364033a2145890b7a8782044ebb831a39f8dda3b565cdda1d78f61

Observation 3726e760-5b68-456a-a2c1-b21b8980a190 · outbound

This paper cites an unresolved cited work.

Equations of the first kind and the inversion of series of resolvents of a closed operator Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:38:31.525521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:38:30.679018Z digest=sha256:fc3c3d3d48566edb3bdc5fc0cee04c6fe89776633677ba8f28a7d1e9b6a0884d

Observation c20009dd-0101-4830-9f4a-46b5bf931f96 · outbound

This paper cites Classes of Linea r Operators, Vol.1, Birkhauser, 1990.

Equations of the first kind and the inversion of series of resolvents of a closed operator Classes of Linea r Operators, Vol.1, Birkhauser, 1990

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:38:31.437254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:38:30.683884Z digest=sha256:e142a3535cded169c073cc51b1ff761609cf9ed703a2efca996ac475190e12c2

Observation e0176afe-7aea-4dcf-bf37-618b714bc308 · outbound

This paper cites Об одном функциональ ном исчислении за- мкнутых операторов в банаховом пространстве.

Equations of the first kind and the inversion of series of resolvents of a closed operator Об одном функциональ ном исчислении за- мкнутых операторов в банаховом пространстве

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:38:31.299031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:38:30.706531Z digest=sha256:fb752311e0511feb3672c76422438995487bfe50cc3e7474f6971f0886c4a62d

Observation 6b289c3a-7d9d-4461-b713-4a5ff2666bc4 · outbound

This paper cites an unresolved cited work.

Equations of the first kind and the inversion of series of resolvents of a closed operator Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:38:31.341986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:38:30.693282Z digest=sha256:019f1cbc6ad8392a79e4cfa2fb132c02a9ce822d4fa47469ec158b4136ca7c22

Observation 33510f7d-70d4-4e79-b0b2-a1dbb5f53649 · outbound

This paper cites an unresolved cited work.

Equations of the first kind and the inversion of series of resolvents of a closed operator Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:38:31.327922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:38:30.698059Z digest=sha256:9de237cc6a9447e19054e2ce00032900b4e46b7cc37a2bb17eba53cf1f902b1b

Observation c5eec2ad-475a-43f7-92e7-5287f09b113f · outbound

This paper cites А., Миротин, А.

Equations of the first kind and the inversion of series of resolvents of a closed operator А., Миротин, А

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:38:31.314418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:38:30.702351Z digest=sha256:5ff4a9e45d59238ee5d313b35860337f9e95344868bbb44113e5b0cab21ad43c

Observation 6a317ea1-670d-464d-ac60-bbb6c4ee3a86 · outbound

This paper cites an unresolved cited work.

Equations of the first kind and the inversion of series of resolvents of a closed operator Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:38:31.678163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:38:30.407544Z digest=sha256:26c7f95f5e2b1d44fe0315cd8dc83609fa45d9e1584aba1a92ff7ff277ab5d34

Observation 079de7fa-8e4a-421c-bc3a-1a3841ea4496 · outbound

This paper cites an unresolved cited work.

Equations of the first kind and the inversion of series of resolvents of a closed operator Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:38:31.209399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:38:30.710889Z digest=sha256:2d65c95a556eefa2c6dc2c89d7dec54c7136bdfe00a3bbffb1f971bd25904b06

Observation eb1cae46-e608-43f8-adbc-e9dbaecbb3c9 · outbound

This paper cites an unresolved cited work.

Equations of the first kind and the inversion of series of resolvents of a closed operator Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:38:31.195491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:38:30.780901Z digest=sha256:f97ed8f96cc967c6e3961debe1df640258a01f63701938c7f17098dd618295ed

Observation 7874a454-830d-48b1-ad8d-bd1db2c58714 · outbound

This paper cites An introduction to the mathematical theory of inverse problems, 2 ed., Springer, 2011.

Equations of the first kind and the inversion of series of resolvents of a closed operator An introduction to the mathematical theory of inverse problems, 2 ed., Springer, 2011

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:38:31.180098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:38:30.839422Z digest=sha256:013bbba46eec273cd2a554157d181f3d6a6cd1a31d45b734331d89a4c8f0401a

Observation 0ab0afce-4fb5-4024-aa00-dbb913ee2aae · outbound

This paper cites Н., Арсенин В.

Equations of the first kind and the inversion of series of resolvents of a closed operator Н., Арсенин В

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:38:31.069612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:38:30.900864Z digest=sha256:91a708425a50c22a4d8868b2721921b92dbfd1b097df681e8afef99b7f5bf436

Observation 74582fd0-c9c0-4ca3-abdc-ce5a1dcb772d · outbound

This paper cites an unresolved cited work.

Equations of the first kind and the inversion of series of resolvents of a closed operator Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:38:30.940427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:38:30.905161Z digest=sha256:6c8232921d215d2fa80ef4faf7089b49517b66c35afbbb5b8a798f51f4768568

Pith citing papers

No inbound Pith citation observations are available.