Pith. sign in

Paper Citation Record · LEDGER

On amenability constants of Fourier algebras: new bounds and new examples

As of 10 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2507.05243.

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

pith.paper-citation-record.v1
2507.05243 v3

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-19T05:49:01.498509Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

19 of 19 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 773267b1-632b-4e24-bde5-da5b0ea227ef · outbound

This paper cites an unresolved cited work.

On amenability constants of Fourier algebras: new bounds and new examples Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-05-19T05:53:00.521364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-19T05:49:01.498509Z digest=sha256:a78c5649394aa4dc6935f5ce3003701c0d3472b93e6b86b92d2fdb89bcb3413c

Observation 22fb896b-d32c-4f69-8054-c596bdf47594 · outbound

This paper cites An explicit minorant for the amenability constant of the F ourier algebra.

On amenability constants of Fourier algebras: new bounds and new examples An explicit minorant for the amenability constant of the F ourier algebra

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T05:53:00.505679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-19T05:49:01.498509Z digest=sha256:e1707b1034b4439af737f34cd4c876ff7bf8b2bd4a34bf9ceb4703bed119a9e5

Observation 733527f7-c96e-4471-b306-d2b59236ef12 · outbound

This paper cites Principles of harmonic analysis.

On amenability constants of Fourier algebras: new bounds and new examples Principles of harmonic analysis

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T05:53:00.529157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-19T05:49:01.498509Z digest=sha256:af75459ad7c24d04b3b4e0ffa787e8ba8e51f9b29029e4b573cd3e8cd12c1456

Observation 012442e7-6d11-448d-824f-d274a4a21df2 · outbound

This paper cites L'alg\`ebre de F ourier d'un groupe localement compact.

On amenability constants of Fourier algebras: new bounds and new examples L'alg\`ebre de F ourier d'un groupe localement compact

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T05:53:00.518903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-19T05:49:01.498509Z digest=sha256:e30e515f6c326690ec09ded27144a6ad1a6dd5656436d53c75fce07c9d33b60f

Observation 7a00807c-d5e3-419e-adde-363f4d0b541f · outbound

This paper cites an unresolved cited work.

On amenability constants of Fourier algebras: new bounds and new examples Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-05-19T05:53:00.508270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-19T05:49:01.498509Z digest=sha256:305ed0e28bd38cee45140897c7073c36672704bd60371b6993c865bb6c12ea86

Observation 7b18f8ee-6e79-4ede-8492-576c1b3df98c · outbound

This paper cites Forrest and Volker Runde.

On amenability constants of Fourier algebras: new bounds and new examples Forrest and Volker Runde

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T05:53:00.510808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-19T05:49:01.498509Z digest=sha256:0259c061e41f223e6dfc60b526a7321ebb9715f1b5482613a2dc0561399a51cb

Observation ff729fe4-9ced-4191-b81e-03a30fabaa26 · outbound

This paper cites Abstract harmonic analysis of continuous wavelet transforms , volume 1863 of Lecture Notes in Mathematics.

On amenability constants of Fourier algebras: new bounds and new examples Abstract harmonic analysis of continuous wavelet transforms , volume 1863 of Lecture Notes in Mathematics

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T05:53:00.514123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-19T05:49:01.498509Z digest=sha256:a11be376660cfe2d17a671efd50f496e154ff93aab4f1301417ce7ba7a3bb415

Observation 0e3c987a-7d45-4083-9481-3a829cbf361a · outbound

This paper cites an unresolved cited work.

On amenability constants of Fourier algebras: new bounds and new examples Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-05-19T05:53:00.500689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-19T05:49:01.498509Z digest=sha256:d2c0355b7b55776dd0131c8981c454de4c66de6a0eab4339527205b294109f25

Observation 8edccbf3-61b3-4122-8980-28acca61b1de · outbound

This paper cites an unresolved cited work.

On amenability constants of Fourier algebras: new bounds and new examples Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-05-19T05:53:00.526431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-19T05:49:01.498509Z digest=sha256:71c3579e09d28ecea03724688bdcbe570a35b11f8c181fde0e256fbfd971c69d

Observation 6cd5146d-0caa-417f-b421-6e8207bce97a · outbound

This paper cites Fourier and F ourier- S tieltjes algebras on locally compact groups , volume 231 of Mathematical Surveys and Monographs.

On amenability constants of Fourier algebras: new bounds and new examples Fourier and F ourier- S tieltjes algebras on locally compact groups , volume 231 of Mathematical Surveys and Monographs

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T05:53:00.498127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-19T05:49:01.498509Z digest=sha256:917b1d4b86f31007189969adcdca3785bb71f1c74a9ec1a6aaccc374322621c4

Observation 7a31f56e-dde0-420c-950f-a88e991808ea · outbound

This paper cites an unresolved cited work.

On amenability constants of Fourier algebras: new bounds and new examples Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-05-19T05:53:00.503231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-19T05:49:01.498509Z digest=sha256:8bb408318c3815a1b0e7a8d5a721845ce5acf36a6eefbb46fca34f9e2e82eabd

Observation 4eecc4d0-a726-46ad-8051-c0483ceadc7f · outbound

This paper cites On tensor products of F ourier algebras.

On amenability constants of Fourier algebras: new bounds and new examples On tensor products of F ourier algebras

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T05:53:00.492631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-19T05:49:01.498509Z digest=sha256:11e180d207205c48877237e08c36fe21596adc35a19f539098d1deb7a913df5e

Observation 63275d66-57a7-4a18-9fc9-6c21e32ca5c1 · outbound

This paper cites an unresolved cited work.

On amenability constants of Fourier algebras: new bounds and new examples Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-05-19T05:53:00.484332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-19T05:49:01.498509Z digest=sha256:ac5db9197c97360553b9b9d300d664a31059725ab90a409ba0aee88dc28495e1

Observation c495ded9-158d-4d3c-82d5-88fba7c3412f · outbound

This paper cites The amenability constant of the F ourier algebra.

On amenability constants of Fourier algebras: new bounds and new examples The amenability constant of the F ourier algebra

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T05:53:00.480054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-19T05:49:01.498509Z digest=sha256:865b9fd6ea44ee482a272b2c793057c40f148caeadd971e84d5adf5b76d366e4

Observation bc464224-1b00-4ad8-b3d0-eb9b6db9c854 · outbound

This paper cites Amenable B anach algebras.

On amenability constants of Fourier algebras: new bounds and new examples Amenable B anach algebras

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T05:53:00.482161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-19T05:49:01.498509Z digest=sha256:a9286dc1e779f1d02610602ce6ecb3009a4046a93c4f5e9d27fd2c31b2093305

Observation 2fcea459-09de-42fd-b093-982714f9e1a1 · outbound

This paper cites Profinite groups , volume 40 of Ergebnisse der Mathematik und ihrer Grenzgebiete.

On amenability constants of Fourier algebras: new bounds and new examples Profinite groups , volume 40 of Ergebnisse der Mathematik und ihrer Grenzgebiete

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T05:53:00.487682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-19T05:49:01.498509Z digest=sha256:7b6c565cce9616400dcd7152d863bd2875cb1b322ef5a7c84689296ae9485d1b

Observation ff3607f6-2a37-49fd-b631-b98245122168 · outbound

This paper cites Approximate diagonals and F lner conditions for amenable group and semigroup algebras.

On amenability constants of Fourier algebras: new bounds and new examples Approximate diagonals and F lner conditions for amenable group and semigroup algebras

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T05:53:00.489983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-19T05:49:01.498509Z digest=sha256:59e3c5ca6e1c604da38a30a6da8d524113c7f1d1a3a1ebcd2be90af3a2d17460

Observation f3d53339-d12f-4f42-a111-b1eee6a0df46 · outbound

This paper cites Eine C harakterisierung diskreter G ruppen vom T yp I.

On amenability constants of Fourier algebras: new bounds and new examples Eine C harakterisierung diskreter G ruppen vom T yp I

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T05:53:00.495386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-19T05:49:01.498509Z digest=sha256:92c96e4b088f7bbd2e1ec38cf4bcd7753f52d03228fd11f53d44010be08adc37

Observation 9feb7c14-fd12-4b28-9c14-58d5e42dfa7c · outbound

This paper cites an unresolved cited work.

On amenability constants of Fourier algebras: new bounds and new examples Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-05-19T05:53:00.477200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-19T05:49:01.498509Z digest=sha256:1b04f45b3a8330a356039da7c04c230ee3181aff626309c90a1a909803d85b34

Pith citing papers

No inbound Pith citation observations are available.