Paper Citation Record · LEDGER

The optimal symmetric quasi-Banach range of the discrete Hilbert transform

As of 16 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:1908.09542.

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

pith.paper-citation-record.v1
1908.09542 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:17:38.137517Z

measured 17 of 17 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

17 of 17 outbound references displayed

verified exact0
verified fuzzy14
unresolved2
parse uncertain1
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 58fd6b6b-9ce2-4520-9ed6-381b7e3108dc · outbound

This paper cites Andersen, Discrete Hilbert Transforms and Rearrangement invariant S equence Spaces, Applicable analysis, 5 (1976), 193–200.

The optimal symmetric quasi-Banach range of the discrete Hilbert transform Andersen, Discrete Hilbert Transforms and Rearrangement invariant S equence Spaces, Applicable analysis, 5 (1976), 193–200

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:38.543390Z

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.

Observation ad9c85d0-db0c-4865-8ec9-c3baa0347349 · outbound

This paper cites Bennett and R.

The optimal symmetric quasi-Banach range of the discrete Hilbert transform Bennett and R

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:38.528670Z

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.

Observation 8d57d53f-1be3-4df6-b3fa-a958616fbc78 · outbound

This paper cites Boyd, The Hilbert transform on rearrangement-invariant spaces , Can.

The optimal symmetric quasi-Banach range of the discrete Hilbert transform Boyd, The Hilbert transform on rearrangement-invariant spaces , Can

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:38.495953Z

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.

Observation 6361a46d-38db-454c-aacb-80e447127ec1 · outbound

This paper cites Hudzik, L.

The optimal symmetric quasi-Banach range of the discrete Hilbert transform Hudzik, L

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:38.478375Z

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.

Observation 7d9f14e7-5c6d-488d-a59e-84a2692568e7 · outbound

This paper cites Katznelson, An introduction to Harmonic analysis , Third Corrected Edition, Cambridge University Press, (2012).

The optimal symmetric quasi-Banach range of the discrete Hilbert transform Katznelson, An introduction to Harmonic analysis , Third Corrected Edition, Cambridge University Press, (2012)

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:38.456047Z

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.

Observation 9a525229-ae47-4fb0-9864-61e302536c05 · outbound

This paper cites Kalton, N.

The optimal symmetric quasi-Banach range of the discrete Hilbert transform Kalton, N

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:38.439791Z

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.

Observation 142258d8-b180-49a3-8c8d-307d3d39ee2c · outbound

This paper cites Kolmogorov, Sur les fonctions harmoniques conjuguees et les series de Fo urier, Fun- damenta Math.

The optimal symmetric quasi-Banach range of the discrete Hilbert transform Kolmogorov, Sur les fonctions harmoniques conjuguees et les series de Fo urier, Fun- damenta Math

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:38.423419Z

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.

Observation 4aa81179-5755-4cb9-9753-9dac0eb4d9e2 · outbound

This paper cites Komori, Weak ℓ1 estimates for the generalized discrete Hilbert transforms , Far East J.

The optimal symmetric quasi-Banach range of the discrete Hilbert transform Komori, Weak ℓ1 estimates for the generalized discrete Hilbert transforms , Far East J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:38.396967Z

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.

Observation d899da5f-3b0d-4bae-ab08-ea24a85fd6e0 · outbound

This paper cites Krein, Y.

The optimal symmetric quasi-Banach range of the discrete Hilbert transform Krein, Y

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:38.367940Z

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.

Observation 19619ddb-d9c3-41ae-b8e9-6f57898ca1e4 · outbound

This paper cites Lindenstrauss, L.

The optimal symmetric quasi-Banach range of the discrete Hilbert transform Lindenstrauss, L

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:38.348128Z

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.

Observation eeacdd88-14cc-4a2e-a705-07d2fe44e955 · outbound

This paper cites an unresolved cited work.

The optimal symmetric quasi-Banach range of the discrete Hilbert transform Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:17:38.328731Z

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.

Observation be8eb882-2240-4b59-afed-e321d2851885 · outbound

This paper cites Meyer-Nieberg, Banach Lattices.

The optimal symmetric quasi-Banach range of the discrete Hilbert transform Meyer-Nieberg, Banach Lattices

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:38.306682Z

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.

Observation 7ed3a506-77e8-49a7-a903-52588a73954e · outbound

This paper cites Soria, P.

The optimal symmetric quasi-Banach range of the discrete Hilbert transform Soria, P

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:38.269717Z

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.

Observation 6da64c88-c1e8-461f-8d5f-31be57926fe6 · outbound

This paper cites Soria, P.

The optimal symmetric quasi-Banach range of the discrete Hilbert transform Soria, P

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:38.241809Z

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.

Observation 34602821-2622-4e1e-94a6-94e2855c38a9 · outbound

This paper cites Sukochev, Completeness of quasi-normed symmetric operator spaces.

The optimal symmetric quasi-Banach range of the discrete Hilbert transform Sukochev, Completeness of quasi-normed symmetric operator spaces

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:38.222605Z

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.

Observation 8c1a8a61-7ed9-4858-809c-f3be4d74ed79 · outbound

This paper cites Sukochev, K.

The optimal symmetric quasi-Banach range of the discrete Hilbert transform Sukochev, K

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-14T11:17:38.137517Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9cfa7a70-14cd-4afd-8f1e-0955e8551e27 · outbound

This paper cites an unresolved cited work.

The optimal symmetric quasi-Banach range of the discrete Hilbert transform Unresolved cited work

Reference 129

Resolution: parse uncertain; raw_fallback, observed 2026-08-14T11:17:38.513968Z

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.

Pith citing papers

No inbound Pith citation observations are available.