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Paper Citation Record · LEDGER

Upper bounds for Fourier decay rates of fractal measures

As of 16 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:1908.05753.

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

pith.paper-citation-record.v1
1908.05753 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:16:15.662155Z

measured 15 of 15 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

15 of 15 outbound references displayed

  • verified exact2
  • verified fuzzy9
  • unresolved4
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 89e2cb90-9246-452e-a878-8d8f0fea58b8 · outbound

This paper cites Barcel´ o, J.M.

Upper bounds for Fourier decay rates of fractal measures Barcel´ o, J.M

Reference 1

Resolution
verified fuzzy
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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.

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Observation b6c0452f-44e7-4aa4-b3fa-f132ccac1476 · outbound

This paper cites Bourgain, A note on the Schr¨ odinger maximal function, J.

Upper bounds for Fourier decay rates of fractal measures Bourgain, A note on the Schr¨ odinger maximal function, J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:16:15.901237Z

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.

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Observation fc8802b5-54f3-41b2-94af-01e5be779260 · outbound

This paper cites Pointwise convergence of the fractional Schr\"odinger equation in $\mathbb R^2$.

Upper bounds for Fourier decay rates of fractal measures Pointwise convergence of the fractional Schr\"odinger equation in $\mathbb R^2$

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:16:15.728992Z

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.

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Observation 8a6ab9e8-1e8a-4993-9c5d-5211bf7e1ad2 · outbound

This paper cites an unresolved cited work.

Upper bounds for Fourier decay rates of fractal measures Unresolved cited work

Reference 4

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unresolved
raw_fallback, observed 2026-08-14T13:16:15.885149Z

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.

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Observation d528359b-1c8e-40e6-b8c3-293ca253a0cb · outbound

This paper cites an unresolved cited work.

Upper bounds for Fourier decay rates of fractal measures Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:16:15.871193Z

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.

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Observation 4b3e039a-750f-4c45-b1fe-7866635c6cea · outbound

This paper cites Du and R.

Upper bounds for Fourier decay rates of fractal measures Du and R

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:16:15.856597Z

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=2026-08-14T13:16:15.620093Z digest=sha256:e7893ce5e127fc71c8020e1a73a75ac2b31c85ffc7fa40d4a62c6bb1c934eb01

Observation fdbe49fa-dbe2-4092-b179-cce2b1ddec9b · outbound

This paper cites an unresolved cited work.

Upper bounds for Fourier decay rates of fractal measures Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:16:15.839224Z

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=2026-08-14T13:16:15.624234Z digest=sha256:8ef808f475cbf40e9a1c58f337341f635b3090e8b082fc15633ea7c63dca98be

Observation 6339105e-e04c-4eba-bafb-246a9857c32e · outbound

This paper cites On Falconer's distance set problem in the plane.

Upper bounds for Fourier decay rates of fractal measures On Falconer's distance set problem in the plane

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:16:15.710877Z

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=2026-08-14T13:16:15.628380Z digest=sha256:5ca7fc6e46013f8b1fc8ecc112593c35156f43081f994a0ceb3a9aaf3c84c4d5

Observation 3bbb5a81-90e9-498b-9938-26c14ccffd68 · outbound

This paper cites Fricker, Einf¨ uhrung in die Gitterpunktlehre, Birkh¨ auser (1982).

Upper bounds for Fourier decay rates of fractal measures Fricker, Einf¨ uhrung in die Gitterpunktlehre, Birkh¨ auser (1982)

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:16:15.823769Z

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=2026-08-14T13:16:15.632938Z digest=sha256:00f35f5267e6284841ed17b2a84db9cc3ce82b04dc542668aa8a22b52b9c230c

Observation edd359af-2aa5-436b-a0d1-d05c6b819494 · outbound

This paper cites Liu, An L2-identity and pinned distance problem , Geom.

Upper bounds for Fourier decay rates of fractal measures Liu, An L2-identity and pinned distance problem , Geom

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:16:15.809662Z

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.

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Observation 44062ae7-55f9-4547-8db1-af25b9a7bc67 · outbound

This paper cites Luc` a and K.

Upper bounds for Fourier decay rates of fractal measures Luc` a and K

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:16:15.788482Z

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.

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Observation 86f18766-8944-4565-bc55-9656fa4cc250 · outbound

This paper cites Mattila, Spherical averages of Fourier transforms of measures with fi nite energy; dimen- sions of intersections and distance sets , Mathematika 34 (1987), no.

Upper bounds for Fourier decay rates of fractal measures Mattila, Spherical averages of Fourier transforms of measures with fi nite energy; dimen- sions of intersections and distance sets , Mathematika 34 (1987), no

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:16:15.769854Z

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=2026-08-14T13:16:15.646983Z digest=sha256:5f4126bd7dd0c6b9ac1a4381af4a57f3cc6b0976e266cc36d871be419555464d

Observation 81ff16fa-1433-48fb-8ded-6fe2f25d16f4 · outbound

This paper cites Mattila, Hausdorff dimension, projections, and the Fourier transfor m., Publ.

Upper bounds for Fourier decay rates of fractal measures Mattila, Hausdorff dimension, projections, and the Fourier transfor m., Publ

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:16:15.756059Z

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=2026-08-14T13:16:15.652194Z digest=sha256:3c6a3991cfe264f04d30807e52268bdecd4b660cdf6d1c3a9db6dff0a357bd09

Observation a89fd0aa-e40b-4565-9a2b-8ae30ce51981 · outbound

This paper cites Mattila, Fourier Analysis and Hausdorff Dimension , Cambridge Univ.

Upper bounds for Fourier decay rates of fractal measures Mattila, Fourier Analysis and Hausdorff Dimension , Cambridge Univ

Reference 14

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unresolved
no resolver link, observed 2026-08-14T13:16:15.657215Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 942161fe-1f9f-4695-b49a-7a4a9b9438a9 · outbound

This paper cites W olff, Decay of circular means of Fourier transforms of measures , Int.

Upper bounds for Fourier decay rates of fractal measures W olff, Decay of circular means of Fourier transforms of measures , Int

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:16:15.741796Z

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.

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Pith citing papers

No inbound Pith citation observations are available.