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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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:55:39.219109Z digest=sha256:7edf3b1acf80cb0d671be8c7a71a71c623292dd2c5ac37ade70573a439c537da

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:55:39.224129Z digest=sha256:1a385522dbdd8bca05b398e88b2854da17a5b7c425e51ba304cce5121c57ad13

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:55:39.228375Z digest=sha256:2d32bd6b0ecce73ad54cac9512fba6c1b85e442d420cc774bc3d47eef334d644

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:55:39.233036Z digest=sha256:416d28f439e22a3026b5252a157a0a6f715dd53934a724ad7824022c96a1e185

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:55:39.236743Z digest=sha256:30dc9cebb276b0e8ea2e8b9cc46e4835df88e7331e44d410e94208fdda320470

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:55:39.240808Z digest=sha256:719e6b9f4dcbdf72adcc4b9b691e395bd3254fae82fe057cd8ca365cec76174a

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:55:39.244820Z digest=sha256:1fc00e42e26940c9b6d4d11415829c35b4e9aa2345cbf4f7dda36849ddd762dc

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:55:39.248721Z digest=sha256:613b31cdab6f04e13c7e8428d3ec69aad5a4503eff9848c5248fc406d5a1f1b9

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:55:39.252378Z digest=sha256:e9bd806456387945dc7c9277b3c61d6b3cb4b984e20eb43f1329c8ad5dabbce7

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:55:39.256360Z digest=sha256:19f9e4adb1f27ee88bcdbd181494514c4195d717ab7f7acd364724bac4e15843

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:55:39.260492Z digest=sha256:5f341ac64bfe0353f5f8d4d8a52c13d62b6a196b95205fef1f564d277d0738a5

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:55:39.264164Z digest=sha256:375787fce7020deb986c233b901727d6f69033573b5765f8800ea8019e9deaae

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:55:39.269191Z digest=sha256:7a0541c3de60cb05178b6e96fb8ae39c614d06fcfa342156d9f64303ade91bc3

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:55:39.273649Z digest=sha256:3f5b0cf0a5bea391278a31ae72c9ab6aa38a7e29d2bab5bccf649d65beb87e6c

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:55:39.277829Z digest=sha256:ee452418a64bfd9a8f47a8ac6bca27d8c12a3622284e9670968a39f1c49aa944

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:55:39.281762Z digest=sha256:3f2a17abd420de97af3bb3e393a7e49ed68e2b080983a5da05fc1c2845e75a92

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:55:39.285229Z digest=sha256:c4b3993b17568ba664da93a84e6da338dbe9c597cfbf3bf1b4aa27665643136b

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:55:39.289862Z digest=sha256:8d5288ef7a085eaeca511b75e6288514598ba76af934fe598ec99c561b88696c

Pith citing papers

No inbound Pith citation observations are available.