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Paper Citation Record · LEDGER

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator

As of 21 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2509.00327.

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

pith.paper-citation-record.v1
2509.00327 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T13:58:05.233133Z

measured 35 of 35 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

35 of 35 outbound references displayed

  • verified exact0
  • verified fuzzy18
  • unresolved17
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a519ff5e-ac08-4c8a-ae43-c86af6a72aa1 · outbound

This paper cites an unresolved cited work.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator Unresolved cited work

Reference 1

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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=2026-08-05T13:58:01.164985Z digest=sha256:eb8f770127f750cfc13e87fccc9106a6b268442bda6c7c0925d1b28fcf514666

Observation a4ab0992-daa7-4d08-9655-dfbc4bbb13d3 · outbound

This paper cites Differential Equations 381 (2024), 260--292.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator Differential Equations 381 (2024), 260--292

Reference 2

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

source=arxiv_source observed=2026-08-05T13:58:01.251410Z digest=sha256:1c62822c98ab7808d80327ac44cb5e971aedc6eb3b91dbaad41a0d6af226cd04

Observation a4ed3897-28dc-4196-99a5-516ee8176a9e · outbound

This paper cites an unresolved cited work.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator Unresolved cited work

Reference 3

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

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Observation 27332a6d-7cf5-4d46-a816-105f0ac27a84 · outbound

This paper cites an unresolved cited work.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator Unresolved cited work

Reference 4

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

source=arxiv_source observed=2026-08-05T13:58:01.565925Z digest=sha256:8d3b35413803cd342fa2858097797b0e6c16a86c18d7836a6714d05e45563bd2

Observation 103ffd85-46de-4652-8ff0-7d5fbd7d3ff2 · outbound

This paper cites Betancor, Jacek Dziuba\'nski, and Jose Luis Torrea, On H ardy spaces associated with B essel operators , J.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator Betancor, Jacek Dziuba\'nski, and Jose Luis Torrea, On H ardy spaces associated with B essel operators , J

Reference 5

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

source=arxiv_source observed=2026-08-05T13:58:01.694754Z digest=sha256:d5a5b63fdc6a7e273cedd5425efdf0ab7c398f54695fc64c406c2b9f5a1fb9cf

Observation 4e23ac66-0730-414f-8388-07ccefc8f0a1 · outbound

This paper cites Bonfiglioli, E.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator Bonfiglioli, E

Reference 6

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

source=arxiv_source observed=2026-08-05T13:58:01.820168Z digest=sha256:fe555f235ed47259de262f332a2c43a1bca42cce6c30110b1f9b399d994eb5b9

Observation 2964dc07-0615-499c-b9b4-79f7aada8ad0 · outbound

This paper cites an unresolved cited work.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator Unresolved cited work

Reference 7

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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=2026-08-05T13:58:01.941575Z digest=sha256:7f382e9a06b8a2c3ac85b7c060db6bff4d71f292c7ee4596bcf2f46b025417b9

Observation b81afb82-fa1b-4cdf-b6fa-11dfa3fa17b3 · outbound

This paper cites Coifman, A real variable characterization of H p , Studia Math.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator Coifman, A real variable characterization of H p , Studia Math

Reference 8

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

source=arxiv_source observed=2026-08-05T13:58:02.102638Z digest=sha256:c8a4222b99f8b062425d79ca93e10de18a552e406bb4d460de4a94be95a65b20

Observation e31bad59-5212-41b9-941d-1dd184200f77 · outbound

This paper cites an unresolved cited work.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator Unresolved cited work

Reference 9

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

source=arxiv_source observed=2026-08-05T13:58:02.230050Z digest=sha256:0ae8eb0a360901d0cac887e6d0d61b33f7b89bcdea247437c3962b289db9b8d0

Observation 520dd4d0-1f73-4d05-9fb9-ac20faffd2f9 · outbound

This paper cites Fourier Anal.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator Fourier Anal

Reference 10

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

source=arxiv_source observed=2026-08-05T13:58:02.337121Z digest=sha256:946ea6ffef0f99deb67df5f42f1aab71a0758d4e3d271513c0ce7d72aa92e1ca

Observation d52f0dcb-3a06-412e-a09b-c6130ec4b05e · outbound

This paper cites odinger operators with potentials from reverse H \.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator odinger operators with potentials from reverse H \

Reference 11

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

source=arxiv_source observed=2026-08-05T13:58:02.513298Z digest=sha256:15c8539ee523617e1ecc19d0a83ec39d18a86e8b39f24c0ac1b8be8895781f41

Observation 9d64ea0c-e4a0-40c6-85b2-a7250464f1be · outbound

This paper cites Fefferman and E.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator Fefferman and E

Reference 12

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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=2026-08-05T13:58:02.676707Z digest=sha256:901353817f1d76f98202cd3bcb54b2bd43e3b3fa9b44fc89d92a3b2b5b2cebf7

Observation cd57b568-2e3e-4068-b341-bc2f24a110ce · outbound

This paper cites an unresolved cited work.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator Unresolved cited work

Reference 13

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T13:58:02.790460Z digest=sha256:f1bb1b54bca9f22261817fb9781691b0cd4f3846243bb1ac273f60e802ccabfe

Observation 964d8a6a-67b5-4ed6-b00c-0572b2f6fb6e · outbound

This paper cites an unresolved cited work.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator Unresolved cited work

Reference 14

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T13:58:02.941863Z digest=sha256:8c40edb0a504ae612b337f8178f253e0ef55b79b388e3dffcfab72f716ff5154

Observation c1ef7cbf-c441-432f-8d96-b2faeaae8a3b · outbound

This paper cites Fourier Anal.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator Fourier Anal

Reference 15

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

source=arxiv_source observed=2026-08-05T13:58:03.056815Z digest=sha256:d74faeaa1559f1493a3afc23c2ee5d282eeaaf9ba22489a991c2dbc56fb92b15

Observation f42d2224-9122-4def-9986-7992ed6512b0 · outbound

This paper cites an unresolved cited work.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator Unresolved cited work

Reference 16

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

source=arxiv_source observed=2026-08-05T13:58:03.175188Z digest=sha256:d931d6713d7ce698fc97e90c2e7c8914ca4ad09fb9e04c3e6c370bc0c9cb83dd

Observation 15e76193-d750-4075-815f-b12d2e43c45b · outbound

This paper cites an unresolved cited work.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator Unresolved cited work

Reference 17

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

source=arxiv_source observed=2026-08-05T13:58:03.285563Z digest=sha256:4e2726902a36ced46c57340bb2c82cc0d96278f6fd3d57b8f64e945896aea24e

Observation 1c3a38f2-016e-4042-a3f5-ae2754f87b48 · outbound

This paper cites an unresolved cited work.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator Unresolved cited work

Reference 18

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

source=arxiv_source observed=2026-08-05T13:58:03.375781Z digest=sha256:2af1f3a3cdec7afbf9b6f65ca4c22aa9cfc9d0f1d0bd7160e597afe849fb3afd

Observation 7b7d86cc-84f3-4b6a-bc51-d4350d401b22 · outbound

This paper cites an unresolved cited work.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator Unresolved cited work

Reference 19

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

source=arxiv_source observed=2026-08-05T13:58:03.481308Z digest=sha256:9a54f8693c575bd8d01bde1c56cf56bcb7decabc2348ca94c4246c0150a27890

Observation 60133f61-1b72-413b-8ea8-3624206726d0 · outbound

This paper cites an unresolved cited work.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator Unresolved cited work

Reference 20

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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=2026-08-05T13:58:03.646998Z digest=sha256:7ad2712866a674e9a867fdd957d920c344926a7a62cd65e706b929ddb078838c

Observation d8e3f1d4-fd04-4b24-a5b7-201e3d16c9c9 · outbound

This paper cites Latter, A characterization of H p ( R n ) in terms of atoms , Studia Math.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator Latter, A characterization of H p ( R n ) in terms of atoms , Studia Math

Reference 21

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

source=arxiv_source observed=2026-08-05T13:58:03.766552Z digest=sha256:7de35fb0f6a4fab21118459a6a1b7ffd9d0a09523d796419e846df53d8f3b805

Observation dd5dd4af-a411-4eb7-b596-ca001e503d2b · outbound

This paper cites an unresolved cited work.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator Unresolved cited work

Reference 22

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

source=arxiv_source observed=2026-08-05T13:58:03.921014Z digest=sha256:9fa38ba0c036491fa10d7bf68b3ab21904feda0b1813e9b9cf56da62e2db4176

Observation 751f6099-9343-4a0b-b1a4-01dd6c8d0894 · outbound

This paper cites An FIO-based approach to $L^p$-bounds for the wave equation on $2$-step Carnot groups: the case of M\'etivier groups.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator An FIO-based approach to $L^p$-bounds for the wave equation on $2$-step Carnot groups: the case of M\'etivier groups

Reference 23

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no resolver link, observed 2026-08-05T13:58:04.046637Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T13:58:04.046637Z digest=sha256:3b2f86b553f64a72d3783f5b201dc8e6ee3b6b1737778d9a9ffbaef917f183e9

Observation 1abc214d-74a1-4ace-a3d7-8e14a63043d1 · outbound

This paper cites Picardello, and Fulvio Ricci, A H ardy space associated with twisted convolution , Adv.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator Picardello, and Fulvio Ricci, A H ardy space associated with twisted convolution , Adv

Reference 24

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

source=arxiv_source observed=2026-08-05T13:58:04.201066Z digest=sha256:08b4e84ef31c3e26293b33c2a160248b5adc5307d15240514ad625ecba15fe11

Observation 93325352-0096-429c-b053-823397fc48d9 · outbound

This paper cites Stein, L^p -estimates for the wave equation on the H eisenberg group , Rev.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator Stein, L^p -estimates for the wave equation on the H eisenberg group , Rev

Reference 25

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

source=arxiv_source observed=2026-08-05T13:58:04.306944Z digest=sha256:c2d834bd02f7c727c6fe1274253887aef7cab71e2090f135e7b6c2f61d1da04d

Observation 5f72c55a-2a3a-43f1-a222-deddad806abb · outbound

This paper cites PDE 8 (2015), no.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator PDE 8 (2015), no

Reference 26

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raw_fallback, observed 2026-08-05T13:58:07.019129Z

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

source=arxiv_source observed=2026-08-05T13:58:04.417994Z digest=sha256:e7ff15ea44ce26f88bc0c08ac5f22efcc9c12c4836bfac2a8ed4ede1716ebf0e

Observation 89406a05-7868-4b64-a351-ba516ad616f8 · outbound

This paper cites an unresolved cited work.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator Unresolved cited work

Reference 27

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

source=arxiv_source observed=2026-08-05T13:58:04.521818Z digest=sha256:e45122f058810ca345dd55831b9e682c1fa266b692505b38ec05c5db903c0a26

Observation 680f8631-30ce-42be-8c74-3406667299c6 · outbound

This paper cites Peral, L p \ estimates for the wave equation , J.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator Peral, L p \ estimates for the wave equation , J

Reference 28

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raw_fallback, observed 2026-08-05T13:58:06.647797Z

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

source=arxiv_source observed=2026-08-05T13:58:04.637812Z digest=sha256:0df358a593d3e2fdb58db5737746cb6e7d0b8354224017f47eaa018939ed74fe

Observation 5edb4e0c-5f0a-4f48-9dcc-26a9ee5dc0c5 · outbound

This paper cites an unresolved cited work.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator Unresolved cited work

Reference 29

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

source=arxiv_source observed=2026-08-05T13:58:04.726032Z digest=sha256:a47d688432ec2b7dd1dc8613d1a7bc09d48c7012fa1f46cab0ce6e653d341659

Observation 312ca821-0586-40d3-a72e-da5d1ff81be8 · outbound

This paper cites Rozenblum and G.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator Rozenblum and G

Reference 30

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raw_fallback, observed 2026-08-05T13:58:06.312226Z

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

source=arxiv_source observed=2026-08-05T13:58:04.803346Z digest=sha256:83688947f801ec7b34e168af8653c7a0cbc81a9db5672a3d3e8d265bb44a7220

Observation 32e374b6-2115-4fd1-a1eb-663693de595e · outbound

This paper cites Sogge, and Elias M.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator Sogge, and Elias M

Reference 31

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raw_fallback, observed 2026-08-05T13:58:06.142587Z

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=2026-08-05T13:58:04.884379Z digest=sha256:507d3ba8f48be51401ce6d83c9dfcf6bff28b95b74b2e9a18d9e141f91c5e2d8

Observation 38e89e83-40de-454a-b1ab-e82e62fc1a28 · outbound

This paper cites Stein, Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals, Princeton Mathematical Series, vol.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator Stein, Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals, Princeton Mathematical Series, vol

Reference 32

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

source=arxiv_source observed=2026-08-05T13:58:04.970283Z digest=sha256:d1ebcb43407820d6246269d82e185d3b6d07283c05f5d20d9aaa495afcd6232b

Observation 589f29f2-de4b-42a8-8216-1b95f9664120 · outbound

This paper cites an unresolved cited work.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator Unresolved cited work

Reference 33

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

source=arxiv_source observed=2026-08-05T13:58:05.086847Z digest=sha256:8269bd206f4d126d69f4f28a8a1550f0cd1cd670130608204a242860ba35b92e

Observation 3729802e-210c-45a8-8626-9e0d12229179 · outbound

This paper cites 42, Princeton University Press, Princeton, NJ, 1993, With a preface by Robert S.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator 42, Princeton University Press, Princeton, NJ, 1993, With a preface by Robert S

Reference 34

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

source=arxiv_source observed=2026-08-05T13:58:05.157225Z digest=sha256:982ec1dc3ecffe2c2125444e109eb297184d27f62d16321dbdbf3a21f6d92814

Observation 00effbce-4d93-4826-8eb3-f4f1674571af · outbound

This paper cites 217, Birkh\"auser Boston, Inc., Boston, MA, 2004, Hardy's theorem on Lie groups, With a foreword by Gerald B.\ Folland.

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator 217, Birkh\"auser Boston, Inc., Boston, MA, 2004, Hardy's theorem on Lie groups, With a foreword by Gerald B.\ Folland

Reference 35

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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=2026-08-05T13:58:05.233133Z digest=sha256:b0856373df7a3cb2974a3be8bcf225dbdd5d53665a24d8a2b59b68c3ea32c43d

Pith citing papers

No inbound Pith citation observations are available.