Paper Citation Record · LEDGER

On $L^1$-$L^2$ dichotomy for flat symmetric spaces

As of 13 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2411.15564.

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

pith.paper-citation-record.v1
2411.15564 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:22:58.832162Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

25 of 25 outbound references displayed

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verified fuzzy24
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7ea1529d-75fa-4cde-a4ab-e638acfe3f0f · outbound

This paper cites Convolution of o rbital mea- sures in symmetric spaces, Bull.

On $L^1$-$L^2$ dichotomy for flat symmetric spaces Convolution of o rbital mea- sures in symmetric spaces, Bull

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:22:59.228101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bb8db089-9624-473c-a99b-211eada589e5 · outbound

This paper cites Or bital mea- sures on SU (2)/SO(2).

On $L^1$-$L^2$ dichotomy for flat symmetric spaces Or bital mea- sures on SU (2)/SO(2)

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:22:59.212638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cf34effa-de8c-4476-9cf8-ff76f6ae5ff9 · outbound

This paper cites Analysis on ﬂat symmetric space s, J.

On $L^1$-$L^2$ dichotomy for flat symmetric spaces Analysis on ﬂat symmetric space s, J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:22:59.197718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e2eeb146-413e-411c-a86e-98559cebd0b9 · outbound

This paper cites Bloom and H.

On $L^1$-$L^2$ dichotomy for flat symmetric spaces Bloom and H

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:22:59.181024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ace266c9-a2b0-43db-a203-a5b8a263747e · outbound

This paper cites Random matrix theory and symme tric spaces, Physics Reports 394 (2004), 41–156.

On $L^1$-$L^2$ dichotomy for flat symmetric spaces Random matrix theory and symme tric spaces, Physics Reports 394 (2004), 41–156

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:22:59.166964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ab12c401-76d1-4102-a18e-31b3e8a618db · outbound

This paper cites Operators and harmonic analysis on the sphere, Trans.

On $L^1$-$L^2$ dichotomy for flat symmetric spaces Operators and harmonic analysis on the sphere, Trans

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:22:59.152389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c0ae3371-273f-4a35-ad40-a84c475430f2 · outbound

This paper cites Absolute continuity of convo lutions of orbital measures on Riemannian symmetric spaces, J.

On $L^1$-$L^2$ dichotomy for flat symmetric spaces Absolute continuity of convo lutions of orbital measures on Riemannian symmetric spaces, J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:22:59.137788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d9b6c657-6810-4b78-96e1-a1f9dbc8992a · outbound

This paper cites Convolution of orbital measu res on symmetric spaces: a survey, Probability on Algebraic and geometric structur es, Cont.

On $L^1$-$L^2$ dichotomy for flat symmetric spaces Convolution of orbital measu res on symmetric spaces: a survey, Probability on Algebraic and geometric structur es, Cont

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:22:59.123180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e576dc96-d71d-47fb-9974-5cd53b9659ff · outbound

This paper cites Singularity of orbits in cla ssical Lie algebras, Geom.

On $L^1$-$L^2$ dichotomy for flat symmetric spaces Singularity of orbits in cla ssical Lie algebras, Geom

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:22:59.108646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 03ff5420-3e7d-48fe-a5cf-6d66e2375b67 · outbound

This paper cites L2-singular dichotomy for orbital measures of classical compact Lie groups, Adv.

On $L^1$-$L^2$ dichotomy for flat symmetric spaces L2-singular dichotomy for orbital measures of classical compact Lie groups, Adv

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:22:59.093899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9eb7dd5c-c261-49b6-a4c4-11340d335bc9 · outbound

This paper cites L2-singular dichotomy for orbital measures on complex groups.

On $L^1$-$L^2$ dichotomy for flat symmetric spaces L2-singular dichotomy for orbital measures on complex groups

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:22:59.079744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ef0d9720-c944-471b-9720-b244b736dac4 · outbound

This paper cites The absolute continuit y of convolu- tions of orbital measures in symmetric spaces.

On $L^1$-$L^2$ dichotomy for flat symmetric spaces The absolute continuit y of convolu- tions of orbital measures in symmetric spaces

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:22:59.063692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b967bbb4-a1a4-4659-97de-e257d8010acf · outbound

This paper cites The smoothness of co nvolutions of singular orbital measures on complex Grassmannians.

On $L^1$-$L^2$ dichotomy for flat symmetric spaces The smoothness of co nvolutions of singular orbital measures on complex Grassmannians

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:22:59.049084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 391774c8-2cc4-4de8-a7ae-ff6874ad6405 · outbound

This paper cites ’The smoothness of or bital measures on noncompact symmetric spaces, J.

On $L^1$-$L^2$ dichotomy for flat symmetric spaces ’The smoothness of or bital measures on noncompact symmetric spaces, J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:22:59.033366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation aa21bad0-ecf8-429a-96ab-d97454e15970 · outbound

This paper cites L2-singular dichotomy for orbital measures of classical simple Lie algebras.

On $L^1$-$L^2$ dichotomy for flat symmetric spaces L2-singular dichotomy for orbital measures of classical simple Lie algebras

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:22:59.018047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8026abbd-4e55-4bc1-ac14-93d535214ac6 · outbound

This paper cites The L2-singular dichotomy for exceptional Lie groups and algebras, J.

On $L^1$-$L^2$ dichotomy for flat symmetric spaces The L2-singular dichotomy for exceptional Lie groups and algebras, J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:22:59.003624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation aaca2003-c6ac-4dfb-8998-5746e0d6bda4 · outbound

This paper cites Smoothness of convolution produ cts of orbital measures on rank one compact symmetric spaces.

On $L^1$-$L^2$ dichotomy for flat symmetric spaces Smoothness of convolution produ cts of orbital measures on rank one compact symmetric spaces

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:22:58.989141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dde60af6-c27d-4029-9c39-9c09ec601ffc · outbound

This paper cites The absolute continuity of convolu tion prod- ucts of orbital measures in exceptional symmetric spaces, Monat sh.

On $L^1$-$L^2$ dichotomy for flat symmetric spaces The absolute continuity of convolu tion prod- ucts of orbital measures in exceptional symmetric spaces, Monat sh

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:22:58.974358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 66d07c39-8e71-4400-9c9f-9c13b8c8b060 · outbound

This paper cites A geometric proof of the L2-singular dichotomy for orbital measures on Lie algebras and groups.

On $L^1$-$L^2$ dichotomy for flat symmetric spaces A geometric proof of the L2-singular dichotomy for orbital measures on Lie algebras and groups

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:22:58.959828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 496b3030-02b2-4287-9dc5-9bade0759d2d · outbound

This paper cites Diﬀerential geometry, Lie groups and sym metric spaces, Academic Press, New York, 1978.

On $L^1$-$L^2$ dichotomy for flat symmetric spaces Diﬀerential geometry, Lie groups and sym metric spaces, Academic Press, New York, 1978

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:22:58.944107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bff79c3d-318c-456e-955c-442673ec89bf · outbound

This paper cites Groups and Geometric analysis, American M ath Soc., Mathematical Surveys and Monographs 83, 2002.

On $L^1$-$L^2$ dichotomy for flat symmetric spaces Groups and Geometric analysis, American M ath Soc., Mathematical Surveys and Monographs 83, 2002

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:22:58.927929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b494fe82-0dd9-4b2c-bb97-4d11968f9c40 · outbound

This paper cites Central measures on compact simple Lie group s, J.

On $L^1$-$L^2$ dichotomy for flat symmetric spaces Central measures on compact simple Lie group s, J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:22:58.913548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dca6ac44-02c0-4387-a67d-9fafe4448448 · outbound

This paper cites Zonal measure algebras on isotropy irreducib le homogeneous spaces, J.

On $L^1$-$L^2$ dichotomy for flat symmetric spaces Zonal measure algebras on isotropy irreducib le homogeneous spaces, J

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:22:58.898134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 06d3e5f2-8c07-4901-b79f-820b00ce79b1 · outbound

This paper cites Harmonic Analysis on Commutative Spaces, Amer.

On $L^1$-$L^2$ dichotomy for flat symmetric spaces Harmonic Analysis on Commutative Spaces, Amer

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:22:58.882663Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d36c6d2b-c191-46ff-924c-ce621cabc860 · outbound

This paper cites an unresolved cited work.

On $L^1$-$L^2$ dichotomy for flat symmetric spaces Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:22:58.867515Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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