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Paper Citation Record · LEDGER

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals

As of 19 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2607.13338.

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

pith.paper-citation-record.v1
2607.13338 v1

Coverage vector

measured 44 of 44 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-02T05:36:37.196220Z

measured 44 of 44 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

44 of 44 outbound references displayed

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External citation measurements

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Outbound references

Observation 5b0b2d61-bd0f-45b0-b1cb-e63afc6a2b4b · outbound

This paper cites The emerging field of signal processing on graphs,.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals The emerging field of signal processing on graphs,

Reference 1

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Observation c5ac3df0-7e77-4a7d-b1d6-b0a7edfd8b28 · outbound

This paper cites Discrete signal processing on graphs,.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Discrete signal processing on graphs,

Reference 2

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Observation 1be782ed-10ea-4720-b913-459a9848b7f3 · outbound

This paper cites Graph signal processing: overview, challenges, and appli- cations,.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Graph signal processing: overview, challenges, and appli- cations,

Reference 3

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Observation 9bd9037d-4a00-4b05-bf18-83c527aa03ed · outbound

This paper cites Discrete signal processing on graphs: frequencyanalysis,.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Discrete signal processing on graphs: frequencyanalysis,

Reference 4

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Observation 7a99310e-dabc-49c1-9f7a-812614270a36 · outbound

This paper cites Stationary signal processing on graphs,.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Stationary signal processing on graphs,

Reference 5

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Observation 4ec37ab0-41ef-4f97-92f2-2fe42e9d87db · outbound

This paper cites Wavelets on graphs via spectral graph theory,.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Wavelets on graphs via spectral graph theory,

Reference 6

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Observation f20e688f-ba60-4f52-a993-65fcd94958d0 · outbound

This paper cites Translation on graphs: an isometric shift operator,.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Translation on graphs: an isometric shift operator,

Reference 7

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Observation 60417bf6-4fcb-435b-b901-5f592aebc011 · outbound

This paper cites On the shift operator, graph frequency, and optimal filtering in graph signal processing,.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals On the shift operator, graph frequency, and optimal filtering in graph signal processing,

Reference 8

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Observation d3b2a9d9-0c18-45b2-886e-045aa4e1e2f1 · outbound

This paper cites Neighborhood- preserving translations on graphs,.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Neighborhood- preserving translations on graphs,

Reference 9

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Observation 216c2366-bc49-4de9-b389-8ae01ec767bf · outbound

This paper cites Algebraic signal processing theory: foundation and 1-D time,.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Algebraic signal processing theory: foundation and 1-D time,

Reference 10

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Observation 8e8a5f3a-3454-43ac-99ff-344a7636479d · outbound

This paper cites Algebraic signal processing theory: 1-D space,.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Algebraic signal processing theory: 1-D space,

Reference 11

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Observation 7f1bfbf3-2a8d-4ee2-8513-97af40b06afc · outbound

This paper cites Fokam Souop and L.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Fokam Souop and L

Reference 12

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Observation 5c5fd503-5bd4-41aa-826f-94467c8c7265 · outbound

This paper cites Dimension and Order Bounds for Isometric Embeddings of Graphs into Abelian Cayley Graphs, and the Abelian Dividend.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Dimension and Order Bounds for Isometric Embeddings of Graphs into Abelian Cayley Graphs, and the Abelian Dividend

Reference 13

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Observation b5752968-f404-412c-a01c-92a131d8b79e · outbound

This paper cites Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups

Reference 14

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Observation c057ddbc-a7a3-4f1f-a54c-8948aff2dd16 · outbound

This paper cites Graph Signal Processing: Modulation, Convolution, and Sampling.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Graph Signal Processing: Modulation, Convolution, and Sampling

Reference 15

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Observation 17b943fa-ec81-4f20-82d4-d4b958277f85 · outbound

This paper cites Uncertainty principles and signal recov- ery,.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Uncertainty principles and signal recov- ery,

Reference 16

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Observation 093142fc-9410-4575-855b-9bc2b4fc1e09 · outbound

This paper cites Terras,Fourier Analysis on Finite Groups and Applications.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Terras,Fourier Analysis on Finite Groups and Applications

Reference 17

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Observation fb188908-e777-42ee-9c2e-54354e4d23b6 · outbound

This paper cites Rudin,Fourier Analysis on Groups.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Rudin,Fourier Analysis on Groups

Reference 18

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Observation e526cf2b-eef4-4611-b062-549964d521c8 · outbound

This paper cites an unresolved cited work.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Unresolved cited work

Reference 19

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Observation 9f42129e-2363-493b-93d4-f9ef9aea735e · outbound

This paper cites Tolimieri, M.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Tolimieri, M

Reference 20

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Observation 349384fe-d46a-4457-8e0f-d6eb5f029619 · outbound

This paper cites Ceccherini-Silberstein, F.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Ceccherini-Silberstein, F

Reference 21

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Observation 3cdfd30c-0ea6-410c-aaf6-bea4c2458689 · outbound

This paper cites Godsil and G.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Godsil and G

Reference 22

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Observation 7c417fb7-8bf9-484d-bcba-eb261749ebda · outbound

This paper cites Convolutional neural networks on graphs with fast localized spectral filtering,.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Convolutional neural networks on graphs with fast localized spectral filtering,

Reference 23

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Observation 437d2f85-5a1b-40ba-8836-e54c308a48e2 · outbound

This paper cites Gabor-type frames for signal processing on graphs,.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Gabor-type frames for signal processing on graphs,

Reference 24

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Observation 40793e04-e289-4aa9-9210-40ace326cc23 · outbound

This paper cites Frames for signal processing on Cayley graphs,.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Frames for signal processing on Cayley graphs,

Reference 25

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Observation a6b6898a-4b53-4276-9dca-1fe55164949f · outbound

This paper cites Sampling in Paley–Wiener spaces on combinatorial graphs,.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Sampling in Paley–Wiener spaces on combinatorial graphs,

Reference 26

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Observation 25fff944-52af-439f-bb27-5e34d1386a1a · outbound

This paper cites Discrete signal processing on graphs: sampling theory,.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Discrete signal processing on graphs: sampling theory,

Reference 27

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Observation 48052c33-6f1c-41c1-b6ed-2ce4d898686c · outbound

This paper cites Efficient sampling set selection for bandlimited graph signals using graph spectral proxies,.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Efficient sampling set selection for bandlimited graph signals using graph spectral proxies,

Reference 28

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Observation 01d7ce72-5fef-4272-8e87-e622d8e2e2d3 · outbound

This paper cites Global and local uncertainty principles for signals on graphs,.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Global and local uncertainty principles for signals on graphs,

Reference 29

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Observation 38d158ec-829c-4f18-bf11-d0d43eacecee · outbound

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Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Unresolved cited work

Reference 30

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Observation bd0a1cfd-29f9-4615-bcb9-85be752c62e7 · outbound

This paper cites Diffusion wavelets,.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Diffusion wavelets,

Reference 31

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Observation d161416b-7fcb-4de8-9b07-c1969a51de19 · outbound

This paper cites Multiscale wavelets on trees, graphs and high-dimensional data: theory and applications to semi- supervised learning,.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Multiscale wavelets on trees, graphs and high-dimensional data: theory and applications to semi- supervised learning,

Reference 32

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Observation 135e901a-17e6-4bbe-b517-e1b06babd37c · outbound

This paper cites Perfectreconstructiontwo-channelwavelet filter banks for graph structured data,.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Perfectreconstructiontwo-channelwavelet filter banks for graph structured data,

Reference 33

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Observation ebf79053-52e0-40f8-b0f8-40a22408bbdf · outbound

This paper cites Graph wavelets for multiscale community mining,.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Graph wavelets for multiscale community mining,

Reference 34

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Observation 90186221-2ce8-4249-aa54-580ee95dec3c · outbound

This paper cites Vertex-frequency anal- ysis on graphs,.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Vertex-frequency anal- ysis on graphs,

Reference 35

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Observation 33c81a08-37f8-4030-83e4-4afb64351d3e · outbound

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Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Unresolved cited work

Reference 36

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Observation a36e741b-f7cf-4d2f-ab63-204acd111fba · outbound

This paper cites Functional maps: a flexible representation of maps between shapes,.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Functional maps: a flexible representation of maps between shapes,

Reference 37

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Observation e19f81f8-6bea-42e3-a493-de79671604d8 · outbound

This paper cites Distance-preserving subgraphs of hypercubes,.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Distance-preserving subgraphs of hypercubes,

Reference 38

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no resolver link, observed 2026-08-02T05:36:36.652950Z

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source=pdf_text observed=2026-08-02T05:36:36.652950Z digest=sha256:d942946e2dc7fdd93060913d06d3a12d2b7a20fc4e07583fecc444c87f5d7087

Observation f7ad01cb-29d1-4168-93fa-d9249ba407a5 · outbound

This paper cites Isometric embedding in products of complete graphs,.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Isometric embedding in products of complete graphs,

Reference 39

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source=pdf_text observed=2026-08-02T05:36:36.742359Z digest=sha256:c029b834084858b23f87d659ecaa9665f444775bcb3abea3d1374a734d871cdd

Observation f0800e97-f5b7-49d6-ba11-b1983dc977fa · outbound

This paper cites an unresolved cited work.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Unresolved cited work

Reference 40

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no resolver link, observed 2026-08-02T05:36:36.836233Z

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source=pdf_text observed=2026-08-02T05:36:36.836233Z digest=sha256:7807d891ea001b09c38fe90a2d6af83d5ed1e336fd42022a9192a946d206e254

Observation bb11a0b1-894b-4eb4-8243-ed83cd608d42 · outbound

This paper cites Imrich and S.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Imrich and S

Reference 41

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source=pdf_text observed=2026-08-02T05:36:36.936186Z digest=sha256:3ddd0f326d589a8f7eb6291ae75c245960d39f1fb8a18357d4944f5d511bee16

Observation 15db1b86-e8a6-4a6b-a557-ae9c3559cba2 · outbound

This paper cites Generalized FFTs—a survey of some recent results,.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Generalized FFTs—a survey of some recent results,

Reference 42

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source=pdf_text observed=2026-08-02T05:36:37.065135Z digest=sha256:60e35b7da01250384b5ceb18d22bf2b79eeda069a15df80ddd448e7b05f888db

Observation 132c8af2-5482-418c-8997-0493e0f344b5 · outbound

This paper cites Van Loan,Computational Frameworks for the Fast Fourier Trans- form, ser.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Van Loan,Computational Frameworks for the Fast Fourier Trans- form, ser

Reference 43

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source=pdf_text observed=2026-08-02T05:36:37.196220Z digest=sha256:2a3f12d29154607e133e9ac28886938f83884aa0ce89603e62a094aa200d4fc8

Observation fb6f20f9-0740-4174-ae76-631b0890fcde · outbound

This paper cites Minimal Isometric Embeddings of Graphs into Abelian Groups: Theory, Algorithms, and Applications to Signal Processing over Networks.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Minimal Isometric Embeddings of Graphs into Abelian Groups: Theory, Algorithms, and Applications to Signal Processing over Networks

Reference 2026

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Pith citing papers

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