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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 2026-08-16T06:30:59.297886+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

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:38:30.394507Z digest=sha256:95a8ea37d6ffd8cc7f874cfbab57052b5246c5a157d99a398a983fe3e0671f7c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:38:30.402138Z digest=sha256:9780eae42a7766ec0a54f75172383f7523f02b4520f700d4fe3b2984f515d7fa

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:38:30.412604Z digest=sha256:ba40def813baa07cb066577a3805eb19c7ca8c0c3bdd0a76df4ecc72522af17a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:38:30.653390Z digest=sha256:fa620bfbc1969f6bcf20614c2b3efecaa3c3045aa2e696e55c5ee5679f2b8cda

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:38:30.418842Z digest=sha256:eac2f66b8754ae2798ca300daa15dc59ffbe3f78dc9a4a5bcc6ac86036cf7976

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:38:30.423617Z digest=sha256:af76dda3415f663b09a844547ea63eb23858f3f84265e3533f439e1ae1d6958a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:38:30.577415Z digest=sha256:400f60cae9c05affe3cb5fafe247ca8bac99156d31fb57a18b85c84fe2bc068a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:38:30.688814Z digest=sha256:42adc4ce5f066ae2aaedd0f997a256dba583ea7fda001b2cf2347bbde9a3ae20

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:38:30.674678Z digest=sha256:7a0550b4000271772f88f8f4b51ec5d2041d10b632a042849243929062497780

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:38:30.679018Z digest=sha256:950c6efbcf27412ad2265ab29b971d07e2a17f84d8ca31171fde8fa60b619ce8

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:38:30.683884Z digest=sha256:ead0fc4b36665366c0fc342f32a6ee66213f7243de9556d286d7ca25fd8db95f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:38:30.706531Z digest=sha256:4f453aee6017f01991400cda81d277f9fd0adaefdc59a8324075bd0e26dfb8c8

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:38:30.693282Z digest=sha256:853bc299f2fc9622969f54c81b5847b230d2770a0e26652fb7ef805532a6ca5f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:38:30.698059Z digest=sha256:597ac6158aa9b2594c42b6b4541edf559516db3153157a8a421c80f6f2d20ea4

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:38:30.702351Z digest=sha256:f1610f441c00ad9c5ba89ae3ef96949cef2310b424e9283c29f14c2764bcf78a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:38:30.407544Z digest=sha256:1a74cf4bed3a4c41b6a93d8918a53764a4f2f58446ff44c9be7cc8e02b3c82d0

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:38:30.710889Z digest=sha256:0597b07c6c58211cb27f8e924c477459d3475bba5c72aa89935e45039af62512

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:38:30.780901Z digest=sha256:c8d3c973fde512b0746c6bed7781ffe59fe86042a561782a4253e324f747cff5

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:38:30.839422Z digest=sha256:6ac3d1968d9cc80b9b7e455f87c628b1538da0bd7fb8304e09a9af643a11ef8c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:38:30.900864Z digest=sha256:142fcfc4c0494fe42a77b5348272ebab4678ef4efd6d1ce6451e500db55dcae6

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:38:30.905161Z digest=sha256:f982010f30762ef51f62727db956101bbeb12389dab4fd45f2412516f86940f2

Pith citing papers

No inbound Pith citation observations are available.