Pith. sign in

Paper Citation Record · LEDGER

Remarks on a proof of the absolute continuity of the representing measures for Dunkl's intertwining operator

As of 21 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:2608.10821.

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

pith.paper-citation-record.v1
2608.10821 v1

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T16:45:27.335568Z

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

8 of 8 outbound references displayed

  • verified exact1
  • verified fuzzy6
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5d424db6-aa53-477f-92a9-ce2798a2f2fa · outbound

This paper cites Dunkl, Differential-difference operators associated to reflection groups.

Remarks on a proof of the absolute continuity of the representing measures for Dunkl's intertwining operator Dunkl, Differential-difference operators associated to reflection groups

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:45:27.419856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T16:45:27.313732Z digest=sha256:b1c7f4a0aca123031d3221142147a1d31fc828a71c55faf233a6f89dea93e536

Observation 8583741f-e954-4dd9-ab39-8fd0de99d5bc · outbound

This paper cites Dunkl, Integral kernels with reflection group invariance.

Remarks on a proof of the absolute continuity of the representing measures for Dunkl's intertwining operator Dunkl, Integral kernels with reflection group invariance

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:45:27.411937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T16:45:27.317072Z digest=sha256:ffc11d1b48e3291ba25c24c8ef8a68f8a5d9b628feb841f7c037d41d89a340aa

Observation 29b3609b-5627-46a0-95b6-0265e136fa07 · outbound

This paper cites Uniform bounds on the Dunkl kernel.

Remarks on a proof of the absolute continuity of the representing measures for Dunkl's intertwining operator Uniform bounds on the Dunkl kernel

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-12T16:45:27.361127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T16:45:27.319953Z digest=sha256:b654907cf91d5211db11120b7721879442e0cec4233dce9bd71732d0256e5c8c

Observation ed5ec090-f479-4ba5-a3e0-8042600aca98 · outbound

This paper cites R\"osler, Positivity of Dunkl's intertwining operator.

Remarks on a proof of the absolute continuity of the representing measures for Dunkl's intertwining operator R\"osler, Positivity of Dunkl's intertwining operator

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:45:27.403626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T16:45:27.323952Z digest=sha256:78a380be887fd928b6615eb1d125889f6d85971f25d79846b14e92af8e8fd658

Observation 7c503769-be93-41f3-9df1-19f23d90212c · outbound

This paper cites an unresolved cited work.

Remarks on a proof of the absolute continuity of the representing measures for Dunkl's intertwining operator Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:45:27.395223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T16:45:27.326752Z digest=sha256:71127f21c5e04077008f6d8f056a4dcd0953810fc1965043a358908e9adc4d11

Observation 5263f95e-49b6-4a66-aa25-af73a32bea60 · outbound

This paper cites Helgason, Groups and Geometric Analysis: Integral Geometry, Invariant Differential Operators, and Spherical Functions.

Remarks on a proof of the absolute continuity of the representing measures for Dunkl's intertwining operator Helgason, Groups and Geometric Analysis: Integral Geometry, Invariant Differential Operators, and Spherical Functions

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:45:27.387001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T16:45:27.329691Z digest=sha256:8b1f3933102a30f75b4732d04b81dd7dac66475cc1a6a4099191225ac7a1425f

Observation 9e5a820e-fba1-4713-9312-8705bf074049 · outbound

This paper cites Trim\`eche, The Dunkl intertwining operator on spaces of functions and distributions and integral representations of its dual.

Remarks on a proof of the absolute continuity of the representing measures for Dunkl's intertwining operator Trim\`eche, The Dunkl intertwining operator on spaces of functions and distributions and integral representations of its dual

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:45:27.377869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T16:45:27.332621Z digest=sha256:6078eb30861358d5da1ed4569ad24c0d818b4ef2cb421529a4c79bba38888c63

Observation 2c110854-da60-449a-bd6f-0609564d3e4c · outbound

This paper cites Trim\`eche, Absolute continuity of the representing measures of the Dunkl intertwining operator and of its dual and applications.

Remarks on a proof of the absolute continuity of the representing measures for Dunkl's intertwining operator Trim\`eche, Absolute continuity of the representing measures of the Dunkl intertwining operator and of its dual and applications

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:45:27.369513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T16:45:27.335568Z digest=sha256:3f68f2fb9d4cc65ccb9c84551a5ab606153d637d9f1fb2c508a0ba315a4fec24

Pith citing papers

No inbound Pith citation observations are available.