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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:a8402981a1f1e407dd6c39ceb757b6f91056bdb666dce2c8a059fac856ed6a79

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:fab22011cc6e0357cf7aec3ee2a5031fb078dd18f3158035e432428eba231e34

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=sha256:09df5d1560d0f609c3b804179c9c77c5d6847e8832e1c9fb2b49fd3500c33079

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:ae4aac0bc2997f2fb108253c377a21b6866b9e85c785c8681859c66bdf12725c

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=sha256:2143321e77265d6670620b98e5c3a9d248ce291d2adf297af1e5e8cb7bceb1eb

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:f19e7f144298e83e1121a2b12798361a31f8f4b6e74a1361edf09505f9bb30b4

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=sha256:32e64303cc2a5e79ed374cf4c26829549d847164212fa062d3eeb32e9c17337d

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=sha256:832959421f469217ecb78d9496ecca8b704535cf6c7f318d838250166c9932f4

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=sha256:05433e2cde3069dfaf174c0f20d29b87962383d772268dc103cb95210d929140

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:db67ead4d19c4f3e58d108a2069f6a3d0c22a594873469c57d54aaa6478cf4be

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=sha256:69a483ad37d9f0204b87dd012089bf6324d0cb77a67a1e0ff92e10ce299f9660

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=sha256:1d1d0a9fbffeec6289d6e60274b2678fec312fa8ce0e58c2bc6eab1972c2c4af

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:dbd9d44d7ea07615f474f6adfdc500563bc9c6920e5ee94bd240b8790998c3c3

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:dc856bddc15681e2668a07ee060d2d913ab6e4f9f148ecac1523e982155bf82c

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=sha256:3833ebb42f27b03c784829a94a3b9d8a7ebacc83a1647f479b9f15f95f06c357

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=sha256:98fcc161a49938567d393041cf624706bc80ef0e6e54f1e9f9f6fbc3f3ed5b81

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=sha256:66b62fb866c945fe1ab58d51f686990d4d8723a82ae3b7c71e5d93459582a0c8

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:bbe933cb60416a0ee34470c90be8ed517763a99db5676a8f7a679efab4fba3f5

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=sha256:92ef9b10ce4f422f0f1596f754ed8c6008663d70c77e1701edf9ed1f0a19d78c

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:c13c90edca431371f99315ab6f43f3e59e84d985ead45a76af5aaacbaaa4bcdc

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:daa321a3b2922d03e91079f043c7eca27bdea262e42d287078777c974c7503a4

Pith citing papers

No inbound Pith citation observations are available.