Paper Citation Record · LEDGER

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

As of 20 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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

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 2026-08-20T06:33:59.587034+00:00.

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 2026-08-20T06:33:59.587034+00:00.

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 2026-08-20T06:33:59.587034+00:00.

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 2026-08-20T06:33:59.587034+00:00.

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 2026-08-20T06:33:59.587034+00:00.

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 2026-08-20T06:33:59.587034+00:00.

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 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

No inbound Pith citation observations are available.