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Paper Citation Record · LEDGER

Fourier transform of nonlinear images of self-similar measures: qualitative aspects

As of 9 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 1 inbound Pith citation observation for arXiv:2606.09743.

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

pith.paper-citation-record.v1
2606.09743 v1

Coverage vector

measured 54 of 54 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T14:36:54.793726Z

measured 55 of 55 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T05:17:14.220738Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-06-27T05:20:35.774608Z

Reference resolution

54 of 54 outbound references displayed

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External citation measurements

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Outbound references

Observation 3dea667c-8626-4a29-81d0-4e59b4aa4729 · outbound

This paper cites Algom, Y.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Algom, Y

Reference 1

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Observation 66f0b0a4-8e36-44c1-8b0c-ff3090152072 · outbound

This paper cites Algom, F.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Algom, F

Reference 2

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Observation 5c93849f-f87e-491a-8942-f0303faae0ee · outbound

This paper cites Algom, F.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Algom, F

Reference 3

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Observation 4c94fa25-4a7d-4524-b426-f53e4aa6441f · outbound

This paper cites Polynomial Fourier decay and a cocycle version of Dolgopyat's method for self conformal measures.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Polynomial Fourier decay and a cocycle version of Dolgopyat's method for self conformal measures

Reference 4

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Observation 5c8c7526-dbfa-44fc-a49c-4eb37a50155a · outbound

This paper cites Spectral gaps and Fourier decay for self-conformal measures in the plane.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Spectral gaps and Fourier decay for self-conformal measures in the plane

Reference 5

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arxiv_id, observed 2026-07-03T03:47:35.861053Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 23f3c984-a34f-4ee1-bb11-a2a3f27685f4 · outbound

This paper cites $L^2$-Flattening of Self-similar Measures on Non-degenerate Curves.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects $L^2$-Flattening of Self-similar Measures on Non-degenerate Curves

Reference 6

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arxiv_id, observed 2026-07-03T03:47:35.839802Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 60b5795a-a15f-44e0-988b-333024896bf8 · outbound

This paper cites Baker and A.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Baker and A

Reference 7

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Observation 7d2a96ca-ae6c-4b36-9a24-58e240f76ef3 · outbound

This paper cites Baker and A.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Baker and A

Reference 8

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 39d9f49f-1543-4933-b0b8-9af6a6a5c809 · outbound

This paper cites Fourier Decay from $L^2$-Flattening.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Fourier Decay from $L^2$-Flattening

Reference 9

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arxiv_id, observed 2026-07-03T03:47:35.848506Z

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Observation 07079ac9-0eef-47c9-b85f-6363a4192244 · outbound

This paper cites Fourier transform of nonlinear images of self-similar measures: quantitative aspects.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Fourier transform of nonlinear images of self-similar measures: quantitative aspects

Reference 10

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local_arxiv, observed 2026-07-03T03:47:35.850905Z

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Observation 3f9b1d02-a7d4-47b6-82b3-b2b92d154137 · outbound

This paper cites Spectral gaps and Fourier dimension for self-conformal sets with overlaps.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Spectral gaps and Fourier dimension for self-conformal sets with overlaps

Reference 11

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arxiv_id, observed 2026-07-03T03:47:35.853354Z

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Observation e026b067-06e2-42ef-b71e-41ee9be0587c · outbound

This paper cites Bárány, K.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Bárány, K

Reference 12

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Observation f2d98275-85d4-4d8e-b6f1-cedf7945197b · outbound

This paper cites Bénard, W.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Bénard, W

Reference 13

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Observation 7260357d-8c7f-46a7-afcc-e5b3c40e9c30 · outbound

This paper cites Bourgain and S.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Bourgain and S

Reference 14

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Observation be699287-6ff7-4e38-ab99-b5d7c5385e05 · outbound

This paper cites an unresolved cited work.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Unresolved cited work

Reference 15

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Observation 8ef8302b-3f19-4f30-9ffa-ec2389ac9009 · outbound

This paper cites Dynamical self-similarity, $L^{q}$-dimensions and Furstenberg slicing in $\mathbb{R}^d$.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Dynamical self-similarity, $L^{q}$-dimensions and Furstenberg slicing in $\mathbb{R}^d$

Reference 16

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 7c70791f-c28c-4f20-8500-3fa3758127cf · outbound

This paper cites an unresolved cited work.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Unresolved cited work

Reference 17

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Observation 90bb96c1-ef4a-4040-83f8-41a54ce8254b · outbound

This paper cites Davenport, P.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Davenport, P

Reference 18

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Observation 7c8e6d5d-ccab-4b7c-98c6-5e01d92c656a · outbound

This paper cites an unresolved cited work.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Unresolved cited work

Reference 19

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Observation fda627fb-5f3a-44cf-8d85-10e0f652b533 · outbound

This paper cites Feng,Dimension of invariant measures for affine iterated function sys- tems,Duke Math.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Feng,Dimension of invariant measures for affine iterated function sys- tems,Duke Math

Reference 20

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Observation 20b68e49-e968-45b6-9ec8-c2dbef968a40 · outbound

This paper cites Feng and H.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Feng and H

Reference 21

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Observation 6bfd52a4-52d4-4e9d-ba3b-940e90d1ec5e · outbound

This paper cites Feng and K.-S.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Feng and K.-S

Reference 22

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Observation ef9ba8d7-08d9-4151-8ca9-ae85839d2b21 · outbound

This paper cites Hörmander,An introduction to complex analysis in several variables, Van Nostrand, (1966).

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Hörmander,An introduction to complex analysis in several variables, Van Nostrand, (1966)

Reference 23

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Observation 09d6fd8c-debf-452c-a4fd-e26258d61cba · outbound

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Fourier transform of nonlinear images of self-similar measures: qualitative aspects Unresolved cited work

Reference 24

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Observation bf17c8ab-1d44-47b8-9f4f-f91e1316d02e · outbound

This paper cites Jordan and T.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Jordan and T

Reference 25

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Observation abc1b50b-c4e9-4c02-bce2-48d910273b02 · outbound

This paper cites Katok and B.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Katok and B

Reference 26

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Observation 9515a976-bc67-4a13-9269-67edeebb83fe · outbound

This paper cites Kaufman,Continued fractions and Fourier transforms, Mathematika27 (1981), 262–267.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Kaufman,Continued fractions and Fourier transforms, Mathematika27 (1981), 262–267

Reference 27

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Observation 688a7933-60b1-4e62-b1b7-c4900b00b7bf · outbound

This paper cites Kaufman,On Bernoulli convolutions.In: Conference in modern analysis and probability (New Haven, Conn., 1982), Contemp.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Kaufman,On Bernoulli convolutions.In: Conference in modern analysis and probability (New Haven, Conn., 1982), Contemp

Reference 28

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Observation b9cbc959-9c4b-4e0a-984d-02e82f8c1c1f · outbound

This paper cites Khalil,Exponential mixing via additive combinatorics, J.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Khalil,Exponential mixing via additive combinatorics, J

Reference 29

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source=pdf_text observed=2026-06-27T14:36:54.793726Z digest=sha256:9c85600b6f9e3c6931f055511251363aa8b0d056dcdc84d587dd367f4ac7ac90

Observation 8ecaa69a-6f45-4200-befc-60d0bd1ffac0 · outbound

This paper cites Kleinbock and G.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Kleinbock and G

Reference 30

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source=pdf_text observed=2026-06-27T14:36:54.793726Z digest=sha256:2cd9dccef6d5c5a9a737c7f7f1d0ee682f0f7e046c8dc27c9fc75be1be61b4ec

Observation 4b2f6fb3-1cb4-4bbf-b1cd-4bcc1deb6579 · outbound

This paper cites an unresolved cited work.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Unresolved cited work

Reference 31

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source=pdf_text observed=2026-06-27T14:36:54.793726Z digest=sha256:7075ae53b202488a766593dd3ed58667e4308bd219309ab3cd39f5d9898b42d8

Observation a6b24fd4-8270-4a80-ab8b-542bc11c0cd5 · outbound

This paper cites Łojasiewicz,Ensembles semi-analytiques, preprint IHÉS, 1965.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Łojasiewicz,Ensembles semi-analytiques, preprint IHÉS, 1965

Reference 32

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source=pdf_text observed=2026-06-27T14:36:54.793726Z digest=sha256:2c73b35324d6e23b4c1c9db282cd6913155a014e3b86f21cd6a615d29d2751a5

Observation 13a6b0ea-5211-41fc-9d01-9e6095b1ec8e · outbound

This paper cites Mattila,Geometry of sets and measures in Euclidean spaces: Fractals and rectifiability, Cambridge Studies in Advanced Mathematics, Cambridge Univer- sity Press, (1999).

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Mattila,Geometry of sets and measures in Euclidean spaces: Fractals and rectifiability, Cambridge Studies in Advanced Mathematics, Cambridge Univer- sity Press, (1999)

Reference 33

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source=pdf_text observed=2026-06-27T14:36:54.793726Z digest=sha256:4c77d076279b79bca3d35cca5fd07b9f7d37bc961e6e1d3135110c3f4128d82f

Observation 4d0811cb-9ea4-43db-ab0c-e501f208979d · outbound

This paper cites Mattila,Fourier Analysis and Hausdorff Dimension, Cambridge Studies in Advanced Mathematics, Cambridge University Press, (2015).

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Mattila,Fourier Analysis and Hausdorff Dimension, Cambridge Studies in Advanced Mathematics, Cambridge University Press, (2015)

Reference 34

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Observation b4378ec0-01ce-4e98-b8a2-39fa875e134c · outbound

This paper cites Debrecen60(2002), 89–99.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Debrecen60(2002), 89–99

Reference 35

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Observation 57a8e1e6-4e4e-48e2-b885-360e50b97dc2 · outbound

This paper cites an unresolved cited work.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Unresolved cited work

Reference 36

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source=pdf_text observed=2026-06-27T14:36:54.793726Z digest=sha256:d780b7cadc3b00e8ad7ca4f044e1c869277fa140a63d1aeab29e4110c1bc0dc8

Observation edaae143-a835-44eb-8d5e-dfec1c9bda79 · outbound

This paper cites Mockenhaupt,Salem sets and restriction properties of Fourier transforms, Geom.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Mockenhaupt,Salem sets and restriction properties of Fourier transforms, Geom

Reference 37

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source=pdf_text observed=2026-06-27T14:36:54.793726Z digest=sha256:ebb6c1e4c0903f6e7e4399534d998b494bbd1b5c9db21f48da5780e00829f59d

Observation ce62e246-c98f-4b19-9c83-59f49a0e1747 · outbound

This paper cites Mosquera and P.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Mosquera and P

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Observation c08aa797-328a-4855-be2d-89d8f73cabe0 · outbound

This paper cites Mosquera and A.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Mosquera and A

Reference 39

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source=pdf_text observed=2026-06-27T14:36:54.793726Z digest=sha256:c482d8a243942ab8da4c6babd2bf7b4cc93dd92b75680e63c96cf7e248613e52

Observation 676ce7cd-e109-4442-8574-4da828add8a2 · outbound

This paper cites Okniński and A.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Okniński and A

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source=pdf_text observed=2026-06-27T14:36:54.793726Z digest=sha256:fdefdc8c09ebadba8e12b09ff7ddbe28c1edb4882f395ea5b65a522c0df75415

Observation a854032a-809b-449e-8db4-74119cfbe1e0 · outbound

This paper cites Pollington, S.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Pollington, S

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source=pdf_text observed=2026-06-27T14:36:54.793726Z digest=sha256:acdd1df5c9a6766297f6d467aabc0aabdaf62938d1754572bc690ce8da98b2ab

Observation dc70dd13-691f-49fa-ad45-8ad1a4113105 · outbound

This paper cites Queffélec and O.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Queffélec and O

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source=pdf_text observed=2026-06-27T14:36:54.793726Z digest=sha256:22e42cac0de3c2c870a52293065e0485320892d327dcee7cbcba2d5c347256e3

Observation 1b711231-5ed3-4f2f-9990-721721b0943b · outbound

This paper cites Fourier transforms and iterated function systems.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Fourier transforms and iterated function systems

Reference 43

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verified exact
arxiv_id, observed 2026-07-03T03:47:35.845729Z

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source=pdf_text observed=2026-06-27T14:36:54.793726Z digest=sha256:77799a015d04b5092ac2b3c7e3b37544af5690dca3ca762810924059068eb77b

Observation 6e23168a-027b-4277-b85f-e353004d8fdf · outbound

This paper cites Sahlsten and C.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Sahlsten and C

Reference 44

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source=pdf_text observed=2026-06-27T14:36:54.793726Z digest=sha256:609d81596f5f28f9c09ed0af6f01baf484e1edc676e8ea4dfc5f23c12d281c1b

Observation 674409cd-579c-4277-a070-51231240b278 · outbound

This paper cites Shmerkin,On Furstenberg’s intersection conjecture, self-similar measures, and theL q norms of convolutions, Ann.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Shmerkin,On Furstenberg’s intersection conjecture, self-similar measures, and theL q norms of convolutions, Ann

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Observation 4f66f5aa-9b35-4f77-bff6-8479839652d6 · outbound

This paper cites Solomyak, Fourier decay for self-similar measures, Proc.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Solomyak, Fourier decay for self-similar measures, Proc

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source=pdf_text observed=2026-06-27T14:36:54.793726Z digest=sha256:ee6cc9bd61a5dd8ff9d5ee1ed2e92511d2a40cbbafadb468463410f574ce3940

Observation 38699f21-bc6b-4a91-91fe-91839c09bd4c · outbound

This paper cites Stein,Harmonic analysis: real-variable methods, orthogonality and oscilla- tory integrals, vol.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Stein,Harmonic analysis: real-variable methods, orthogonality and oscilla- tory integrals, vol

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source=pdf_text observed=2026-06-27T14:36:54.793726Z digest=sha256:b4d6ba19dd6a00a45d7200dba2b18f4756ba47b53181359aedfd5893e8cc5483

Observation 23c5b687-71a7-403c-a457-c233f7b187dd · outbound

This paper cites Streck,On absolute continuity and maximal Garsia entropy for self-similar measures with algebraic contraction ratio, Math.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Streck,On absolute continuity and maximal Garsia entropy for self-similar measures with algebraic contraction ratio, Math

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source=pdf_text observed=2026-06-27T14:36:54.793726Z digest=sha256:b779fcfb3ebfe8d1958c71aecff1fc46c94a15d7d76db2f4dd6146154c48fbc4

Observation 2910b1b8-1381-4fda-8d25-1c01247b833d · outbound

This paper cites Tits,Free subgroups in linear groups,J.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Tits,Free subgroups in linear groups,J

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source=pdf_text observed=2026-06-27T14:36:54.793726Z digest=sha256:6287c882e07fef0a71e29e5194dbbb3499f48bd3cb8c4f1ad9a96721476b1c0e

Observation 3c6f80be-c649-4762-80c6-61ce1dfd31ce · outbound

This paper cites Sakai,On Riemannian manifolds admitting a function whose gradient is of constant norm, Kodai Math.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Sakai,On Riemannian manifolds admitting a function whose gradient is of constant norm, Kodai Math

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Observation 9157bc62-ca93-40c1-9a91-02b24218c9d1 · outbound

This paper cites Tsujii,On the Fourier transforms of self-similar measures,Dyn.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Tsujii,On the Fourier transforms of self-similar measures,Dyn

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source=pdf_text observed=2026-06-27T14:36:54.793726Z digest=sha256:4edd01165c355d0dcb275a0c44972990fc05722f56869c818b4d5fb1cdbd8843

Observation 0b22f1d5-14b5-48cb-97b6-47c3052d6186 · outbound

This paper cites Wu,A proof of Furstenberg’s conjecture on the intersections of×pand ×q-invariant sets, Ann.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Wu,A proof of Furstenberg’s conjecture on the intersections of×pand ×q-invariant sets, Ann

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source=pdf_text observed=2026-06-27T14:36:54.793726Z digest=sha256:385f862c4bc3b6d8c5d4a9e0b70ac63d3ea3052cc0abe7be5395860e4dbd6399

Observation 63f111a3-a2c5-45d2-b66d-a4e32b9f4589 · outbound

This paper cites Whitney,Local properties of analytic varieties,in Differential and Combi- natorial Topology (ed.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Whitney,Local properties of analytic varieties,in Differential and Combi- natorial Topology (ed

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Observation 2a61e9d4-d811-4957-9b6e-f3852ea6003f · outbound

This paper cites Whitney,Tangents to an analytic variety,Ann.

Fourier transform of nonlinear images of self-similar measures: qualitative aspects Whitney,Tangents to an analytic variety,Ann

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Pith citing papers

Observation cec2b3f0-7211-4b46-953d-0142f495ba21 · inbound

Quantitative flatness and obstructions in Fourier analysis cites this paper.

Quantitative flatness and obstructions in Fourier analysis Fourier transform of nonlinear images of self-similar measures: qualitative aspects

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local_arxiv, observed 2026-06-27T05:20:35.776207Z

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source=arxiv_source observed=2026-06-27T05:17:14.220738Z digest=sha256:2c8d7db7ecd0e6906d2e76924ce7abe39116f6424499f380fd8ff733516d2250