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Paper Citation Record · LEDGER

Discrete Quaternionic (Multi-window) Gabor Systems

As of 13 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2411.16988.

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

pith.paper-citation-record.v1
2411.16988 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T12:55:39.289862Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

18 of 18 outbound references displayed

  • verified exact0
  • verified fuzzy16
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d0a25b02-6f75-476e-9dab-3086cdfcbd48 · outbound

This paper cites Adler, Quaternionic Quantum Mechanics and Quantum Fields , Oxford University Press, New York, 1995.

Discrete Quaternionic (Multi-window) Gabor Systems Adler, Quaternionic Quantum Mechanics and Quantum Fields , Oxford University Press, New York, 1995

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:55:39.533123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:55:39.219109Z digest=sha256:abc5adea48d93008370dfdfe51e945db6f6776dea05d6d3f65ab24cd959bba8b

Observation 56914aa5-66a6-454c-966b-dc8077fe6267 · outbound

This paper cites Balan, P.G.

Discrete Quaternionic (Multi-window) Gabor Systems Balan, P.G

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:55:39.522343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:55:39.224129Z digest=sha256:c09169a2d864fcb42c313632d3fd33072c5afa03769c11a402bf88a489ceaf79

Observation 01b40eca-e076-4378-af43-d3ead3f38ef2 · outbound

This paper cites Benedetto, A.

Discrete Quaternionic (Multi-window) Gabor Systems Benedetto, A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:55:39.510137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:55:39.228375Z digest=sha256:9aa027b85ba6e6238d86a512e1dd47c9400ba6a68cdcd0029ed882c5a4f9d859

Observation 19e94a47-38e6-4cf8-94ad-f70fb591fd7d · outbound

This paper cites Casazza, The art of frame theory, Taiwanese J.

Discrete Quaternionic (Multi-window) Gabor Systems Casazza, The art of frame theory, Taiwanese J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:55:39.499834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:55:39.233036Z digest=sha256:889ce139867adb7a4aa11971afdb7e82685c9b3d07fab94e48750fdd5670a0f7

Observation 941e6cad-b0a8-46e5-bb40-b95c6064296d · outbound

This paper cites Casazza and G.

Discrete Quaternionic (Multi-window) Gabor Systems Casazza and G

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:55:39.488923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:55:39.236743Z digest=sha256:f37d8108318c8daf463fbf75134c1ca3bc804c528511680e95853d1629b97fe5

Observation 2347d634-9079-460d-9d68-dc06398fb38f · outbound

This paper cites an unresolved cited work.

Discrete Quaternionic (Multi-window) Gabor Systems Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-12T12:55:39.477447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:55:39.240808Z digest=sha256:bf1e9bc1e0f4aceab24b55cd0a5ed52368fe400c214c25f1acff215130267e28

Observation 694918b2-39d7-4b2e-a4c3-0ef9ed56fb33 · outbound

This paper cites Christensen, An Introduction to Frames and Riesz Bases , Applied and Numerical Harmonic Analysis, Birkh¨ auser Boston, Inc., Boston, M A, 2003.

Discrete Quaternionic (Multi-window) Gabor Systems Christensen, An Introduction to Frames and Riesz Bases , Applied and Numerical Harmonic Analysis, Birkh¨ auser Boston, Inc., Boston, M A, 2003

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:55:39.467009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:55:39.244820Z digest=sha256:786a2242f137478a812e83b774da42a5e5c45a15569cb410882f3b9ab9406a39

Observation e67ce78c-a3ea-4d14-b0f0-214688957633 · outbound

This paper cites Daubechies, A.

Discrete Quaternionic (Multi-window) Gabor Systems Daubechies, A

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:55:39.455206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:55:39.248721Z digest=sha256:4609747ab519644b71f762ea447abe82d005ba5b52d128895d1fcae3bd0efd0c

Observation 7da37fde-11c0-48d0-bd6c-fa333f826366 · outbound

This paper cites Dun and A.C.

Discrete Quaternionic (Multi-window) Gabor Systems Dun and A.C

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:55:39.443750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:55:39.252378Z digest=sha256:96faffd4a1f11cc36a645372120cfdfbadb5586624d2714f955e3f6808c6c0b4

Observation a56c2178-0ff7-46b7-a00c-bb1d5184dd0c · outbound

This paper cites Ghiloni, V.

Discrete Quaternionic (Multi-window) Gabor Systems Ghiloni, V

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:55:39.428893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:55:39.256360Z digest=sha256:51255d099b38f3dbe793da196616bcda844773e7b8bae72bc13d18c548bfc87b

Observation bc5c8cab-8199-4243-abb6-cca0276d0a50 · outbound

This paper cites Li and Q.-F.

Discrete Quaternionic (Multi-window) Gabor Systems Li and Q.-F

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:55:39.416926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:55:39.260492Z digest=sha256:fca79c899c31fcfbeaf7ad8d9e59d19d474646d7e1ef63c50a6d5ecedef8efe5

Observation b76a29dd-661d-4e77-8eb6-25e5184174e5 · outbound

This paper cites Li and Q.-F.

Discrete Quaternionic (Multi-window) Gabor Systems Li and Q.-F

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:55:39.402260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:55:39.264164Z digest=sha256:3e47ea7480ec54096d724a9dee3d482974490e46144b48abb872f463def2fdc3

Observation 1d67d7da-144f-4514-8aa3-fba7d1ac031d · outbound

This paper cites an unresolved cited work.

Discrete Quaternionic (Multi-window) Gabor Systems Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-12T12:55:39.387405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:55:39.269191Z digest=sha256:4bd4c52d44797d9cec18b32be83d6a657aba1c97e83610c34ca56b1bd45d8f47

Observation 77213518-0c78-49cb-a3d8-ce79c5122b28 · outbound

This paper cites Lian and Y.-Z.

Discrete Quaternionic (Multi-window) Gabor Systems Lian and Y.-Z

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:55:39.374318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:55:39.273649Z digest=sha256:42f87207b0c5fba014c3dde6c299af7234cfffe2cca8d1ef5afb5a2a385bcdf0

Observation 9c18599f-a19d-4308-8ee0-ce593fd4fed3 · outbound

This paper cites Sharma and S.

Discrete Quaternionic (Multi-window) Gabor Systems Sharma and S

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:55:39.363622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:55:39.277829Z digest=sha256:469285ef9e3322778918a18b36fc3ec04a78252637fdb78dd3a1ae3eab329c73

Observation 51b6595f-5e4b-4d24-ad70-ece522cd1c4a · outbound

This paper cites Heath and A.J.

Discrete Quaternionic (Multi-window) Gabor Systems Heath and A.J

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:55:39.351529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:55:39.281762Z digest=sha256:5b9f3819f870fddd37c61eab95655d694bccc50eefd3ec8d369832e3c087a8d6

Observation 9c7bc3b4-95cc-42e1-8b33-2df57d83cd2d · outbound

This paper cites Banach J.

Discrete Quaternionic (Multi-window) Gabor Systems Banach J

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:55:39.339956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:55:39.285229Z digest=sha256:daaefd7dee78fcb3ced5e5f7c467750ff513937c8e0cd1b64fe17cd23fa24abe

Observation 82ed44e4-8bd9-469f-8b5d-c85d689b8036 · outbound

This paper cites Quaternionic Subspace Gabor Frames and Th eir Duals.

Discrete Quaternionic (Multi-window) Gabor Systems Quaternionic Subspace Gabor Frames and Th eir Duals

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:55:39.325832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:55:39.289862Z digest=sha256:b5a860a35819daeb27209760c90bafe5a139bfa9758769524c3e78c2151a0668

Pith citing papers

No inbound Pith citation observations are available.