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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 18 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 2026-08-18T06:34:40.430872+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

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  • 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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T13:58:01.164985Z digest=sha256:3984a1626b75d99a4ab5a1f88a1cc21d3e0521214667c951696f0b9ff68bb55d

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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T13:58:01.251410Z digest=sha256:f54c5469807606f5ecfd03a1521c55f381f131b75777223c01896cb27e285635

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 2026-08-18T06:34:40.430872+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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T13:58:01.565925Z digest=sha256:669e1db9da72d6a578c8eb7c02de7eeaf1d30de704ab3f51c9b38e15a5489d79

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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T13:58:01.820168Z digest=sha256:021954a81b62f07b5dc59ca4a333b57733158423cc05820a628f8e2b82690c3d

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T13:58:01.941575Z digest=sha256:416c7061700846c13c5e1c2adaac58aff700a71610f2cd9b050ce6c50d6e0c52

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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T13:58:02.230050Z digest=sha256:e532101963b8cde48b2950977ed5cd3995ceced6518dc0578af3f65c24d48134

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T13:58:02.337121Z digest=sha256:550adc354583af49dfebec85b013fcefcd2665a27a3dc6c3ec1974d18d35ab39

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T13:58:02.513298Z digest=sha256:2f3fe05209d32040beea38a4262728e4412e4c447a24a7af282dddf2ec4e38cb

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

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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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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no resolver link, observed 2026-08-05T13:58:02.941863Z

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

Resolution
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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T13:58:03.175188Z digest=sha256:6cc077f593bebfd83ec0e1c07ebab9ca7028cf2cafed7d66c4439a2c0353893c

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T13:58:03.285563Z digest=sha256:ba3cacd1216bad1cb4ace27f227e32d823fe734b483f4bce6a78f25a88ec240d

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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T13:58:03.375781Z digest=sha256:f96bd345b5a1ae27c6a22f8fb190ff8d01a903d7fe4cde4dffbe2d1485c685db

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T13:58:03.481308Z digest=sha256:9be36d386a5c9513e7cb6b29d23a7bb0c5973d89157bad763ee8f51ad56db39d

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T13:58:03.646998Z digest=sha256:c567fb75e9f74ae9129cd8defff320047fe1f2dfb761cc9a1e1c4b55e4708ef5

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

Resolution
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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T13:58:03.766552Z digest=sha256:44b7de33d1b4dadf31fac754825505b8aa1e9776360eeee48085a19cfdbb74b1

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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T13:58:03.921014Z digest=sha256:bbb093dbec19a4780e217de2f2c6d6d56887755a1f7ede8ecad2c66bf3ad1fe0

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

Resolution
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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T13:58:04.201066Z digest=sha256:3b36bdf30f4beb7a6bbf821379472a2c1fd216e7cfe4d7337e704c31dec22a73

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T13:58:04.306944Z digest=sha256:b07b8469a03b67c419cb219c9bffd006a61b01be411b51b715d381c78b67bfdc

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T13:58:04.417994Z digest=sha256:a5fa55b5552a227744d687d3a938056c4f939a556955f6cb695ca594b28eb0e7

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T13:58:04.521818Z digest=sha256:bd88d9857f2d23476284b45d218133b889f658407fbba8a668e2209744cba014

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T13:58:04.637812Z digest=sha256:b169db32035cab96e087868d5f1dac479aedc1c875d2c8d9ca0cd9a052f96e36

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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raw_fallback, observed 2026-08-05T13:58:06.499174Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T13:58:04.726032Z digest=sha256:da32e17d47b07fd9ae1566d3bc685a550f557f7ea8ef45b82feb02d493bde6a6

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T13:58:04.803346Z digest=sha256:c4a852ebcb02b409ce07535a5cef7c5d59b25b59eae65ce6509d33c4095b0b4a

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T13:58:04.884379Z digest=sha256:0cfce92fe64650454f4a9cf255be98537627ab23a66be119cf3a582c8589d7d4

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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raw_fallback, observed 2026-08-05T13:58:05.966023Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T13:58:04.970283Z digest=sha256:1af982760e72cd3e92f186ccb5e4818bbfa3f035e83dcc742e43b02d40b5d737

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T13:58:05.086847Z digest=sha256:fb7b547e7bb29feb02e727c48bab33cafbc6079980f38c72c6e83425ac9d1749

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T13:58:05.157225Z digest=sha256:c8424d580c3de25081ad063ef55976ec0226929b737c7d46f7ecbb2398ed679c

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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raw_fallback, observed 2026-08-05T13:58:05.452292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T13:58:05.233133Z digest=sha256:092913d3c02840ce238edc7fa224627273487fc25371c1158f190cf12c35dded

Pith citing papers

No inbound Pith citation observations are available.