Paper Citation Record · LEDGER

Sharp bounds for non-trace class noise and applications to SPDEs

As of 8 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 1 inbound Pith citation observation for arXiv:2601.19639.

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

pith.paper-citation-record.v1
2601.19639 v3

Coverage vector

measured 64 of 64 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T07:49:09.781347Z

measured 65 of 65 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T12:15:03.724893Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

64 of 64 outbound references displayed

verified exact0
verified fuzzy0
unresolved64
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malformed identifier0
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External citation measurements

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Outbound references

Observation 8ac59231-92fa-443c-b9b7-0fc11fd3c61e · outbound

This paper cites Adler and J.E.

Sharp bounds for non-trace class noise and applications to SPDEs Adler and J.E

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:00.351076Z

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Observation cc7140ab-6e34-4cb7-913f-21cff2cdaeb7 · outbound

This paper cites Agresti, F.

Sharp bounds for non-trace class noise and applications to SPDEs Agresti, F

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:00.485135Z

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Observation c4aa7f6c-a779-47bc-999f-7e51e3feb27f · outbound

This paper cites Agresti, N.

Sharp bounds for non-trace class noise and applications to SPDEs Agresti, N

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:00.649056Z

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Observation 70f55136-63d3-4960-8f79-42f6afdfa729 · outbound

This paper cites Agresti and M.C.

Sharp bounds for non-trace class noise and applications to SPDEs Agresti and M.C

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:00.775580Z

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Observation 2a235906-c3f4-4f9d-8eb8-3ee232afbed7 · outbound

This paper cites Agresti and M.C.

Sharp bounds for non-trace class noise and applications to SPDEs Agresti and M.C

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:00.902161Z

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Observation e15794e4-a3af-46b8-953f-7023bb1f3acc · outbound

This paper cites Agresti and M.C.

Sharp bounds for non-trace class noise and applications to SPDEs Agresti and M.C

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:01.033155Z

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Observation dad9e368-89d1-437a-82aa-828def8e0d13 · outbound

This paper cites Agresti and M.C.

Sharp bounds for non-trace class noise and applications to SPDEs Agresti and M.C

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:01.198340Z

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Observation 61279577-31f9-4761-b4d0-f6112c11910b · outbound

This paper cites Agresti and M.C.

Sharp bounds for non-trace class noise and applications to SPDEs Agresti and M.C

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:01.362025Z

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Observation 654f0bb6-d197-4adc-9cc8-184554bf4f5f · outbound

This paper cites Agresti and M.C.

Sharp bounds for non-trace class noise and applications to SPDEs Agresti and M.C

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:01.493075Z

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Observation dac0f552-0d2a-4458-93b8-ff15ff41794d · outbound

This paper cites Auscher, N.

Sharp bounds for non-trace class noise and applications to SPDEs Auscher, N

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:01.648645Z

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Observation 3624a9b5-b245-4a13-bfb9-1c9637f1a90f · outbound

This paper cites Aziznejad and J.

Sharp bounds for non-trace class noise and applications to SPDEs Aziznejad and J

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:01.773181Z

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Observation e1528ad9-32ec-4864-8def-9acd884ba8d4 · outbound

This paper cites B´ enyi and T.

Sharp bounds for non-trace class noise and applications to SPDEs B´ enyi and T

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:01.973699Z

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Observation b9e7327a-b4f6-47cf-8e5b-0db4911414d8 · outbound

This paper cites Bergh and J.

Sharp bounds for non-trace class noise and applications to SPDEs Bergh and J

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:02.184409Z

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Observation 00ea6529-a401-473a-beaa-772da8d373ee · outbound

This paper cites Bl¨ omker and A.

Sharp bounds for non-trace class noise and applications to SPDEs Bl¨ omker and A

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:02.363074Z

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Observation 3c0409a6-2980-4f13-a4bf-dd9c3527f9f3 · outbound

This paper cites Lecture notes on stationary critical and super-critical SPDEs.

Sharp bounds for non-trace class noise and applications to SPDEs Lecture notes on stationary critical and super-critical SPDEs

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:02.525670Z

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Observation 25d46e7e-731a-4027-ba5d-440e0fd74e44 · outbound

This paper cites Caravenna, R.

Sharp bounds for non-trace class noise and applications to SPDEs Caravenna, R

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:02.692220Z

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Observation a1a853c4-fc6a-4fce-9de5-75e2b36d8af5 · outbound

This paper cites an unresolved cited work.

Sharp bounds for non-trace class noise and applications to SPDEs Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:02.850317Z

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Observation 77b01bd0-6274-44e9-9476-363d83b0b528 · outbound

This paper cites an unresolved cited work.

Sharp bounds for non-trace class noise and applications to SPDEs Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:03.013399Z

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Observation 9a90d592-1913-4462-be63-63c11bea394f · outbound

This paper cites an unresolved cited work.

Sharp bounds for non-trace class noise and applications to SPDEs Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:03.163497Z

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Observation f4d6f0f7-8f8d-4124-8596-29ce888ab67b · outbound

This paper cites Nonlinear random perturbations of Reaction-Diffusion Equations.

Sharp bounds for non-trace class noise and applications to SPDEs Nonlinear random perturbations of Reaction-Diffusion Equations

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:03.308980Z

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Observation e5ed4ee2-26b6-4cdc-95b1-4a72e4cd656d · outbound

This paper cites Cerrai and A.

Sharp bounds for non-trace class noise and applications to SPDEs Cerrai and A

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:03.425245Z

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Observation e637eec0-bb4a-41fb-9cef-4b7264a864b1 · outbound

This paper cites Cerrai and M.

Sharp bounds for non-trace class noise and applications to SPDEs Cerrai and M

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:03.550392Z

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Observation 0c97dc83-8d39-4aa9-8cdc-9e93fae5533f · outbound

This paper cites Cerrai and M.

Sharp bounds for non-trace class noise and applications to SPDEs Cerrai and M

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:03.685209Z

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Observation 0e324fa9-65ad-4c5e-b743-f95abdce8ecc · outbound

This paper cites Cerrai and M.

Sharp bounds for non-trace class noise and applications to SPDEs Cerrai and M

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:03.865591Z

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Observation 21476744-98a5-4328-ae56-da1e312df476 · outbound

This paper cites Cioica, S.

Sharp bounds for non-trace class noise and applications to SPDEs Cioica, S

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:03.986831Z

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Observation de476cf9-cdc8-4c34-8bc5-5757d5c5a094 · outbound

This paper cites Spatial Besov Regularity for Stochastic Partial Differential Equations on Lipschitz Domains.

Sharp bounds for non-trace class noise and applications to SPDEs Spatial Besov Regularity for Stochastic Partial Differential Equations on Lipschitz Domains

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:04.042773Z

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Observation 251090b5-da19-4c34-ba78-e2e2c7a7fe7f · outbound

This paper cites an unresolved cited work.

Sharp bounds for non-trace class noise and applications to SPDEs Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:04.129313Z

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Observation 0f65bc16-b093-4a93-ba99-9657179d15a4 · outbound

This paper cites an unresolved cited work.

Sharp bounds for non-trace class noise and applications to SPDEs Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:04.274598Z

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Observation d8d7eeb7-c8ee-4e9e-90ff-b2da83678601 · outbound

This paper cites Daubechies.Ten lectures on wavelets, volume 61 ofCBMS-NSF Regional Conference Series in Applied Mathematics.

Sharp bounds for non-trace class noise and applications to SPDEs Daubechies.Ten lectures on wavelets, volume 61 ofCBMS-NSF Regional Conference Series in Applied Mathematics

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:04.405589Z

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Observation 0ecb21cb-ab12-40e6-8b4a-20f42b5f90b9 · outbound

This paper cites Fageot, A.

Sharp bounds for non-trace class noise and applications to SPDEs Fageot, A

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:04.564292Z

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Observation a61afe65-b38f-4abc-ad6a-c48b0fa5151c · outbound

This paper cites Grafakos.Classical Fourier analysis, volume 249 ofGraduate Texts in Mathematics.

Sharp bounds for non-trace class noise and applications to SPDEs Grafakos.Classical Fourier analysis, volume 249 ofGraduate Texts in Mathematics

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:04.773389Z

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Observation ebe28aac-cfa0-4d3e-835e-8791ba1cb615 · outbound

This paper cites Grafakos.Modern Fourier analysis, volume 250 ofGraduate Texts in Mathematics.

Sharp bounds for non-trace class noise and applications to SPDEs Grafakos.Modern Fourier analysis, volume 250 ofGraduate Texts in Mathematics

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:04.939940Z

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Observation d6476be2-0481-4d46-aa2f-112052030aed · outbound

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Sharp bounds for non-trace class noise and applications to SPDEs Unresolved cited work

Reference 33

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Observation bf39917e-f1d1-47dd-ae2f-98edbe4c91eb · outbound

This paper cites An Introduction to Stochastic PDEs.

Sharp bounds for non-trace class noise and applications to SPDEs An Introduction to Stochastic PDEs

Reference 34

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Observation b5787da2-c885-4f4b-b150-1a27e2d0b821 · outbound

This paper cites H¨ ormander.

Sharp bounds for non-trace class noise and applications to SPDEs H¨ ormander

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:05.325626Z

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Observation de7ae005-15ec-4139-9080-8d53f354c305 · outbound

This paper cites H¨ ormander.The analysis of linear partial differential operators III: Pseudo-differential operators.

Sharp bounds for non-trace class noise and applications to SPDEs H¨ ormander.The analysis of linear partial differential operators III: Pseudo-differential operators

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:05.546872Z

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Observation 488b311b-951c-4e7a-9443-2e3f74b662d5 · outbound

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Sharp bounds for non-trace class noise and applications to SPDEs Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:05.721312Z

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Observation c0ea5dbb-4e78-48bc-b264-5ca5988b06c3 · outbound

This paper cites Hyt¨ onen, J.M.A.M.

Sharp bounds for non-trace class noise and applications to SPDEs Hyt¨ onen, J.M.A.M

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:05.892062Z

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Observation 883643c8-ff3b-4bb6-b376-5cc9db88bd8c · outbound

This paper cites Hyt¨ onen, J.M.A.M.

Sharp bounds for non-trace class noise and applications to SPDEs Hyt¨ onen, J.M.A.M

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:06.060541Z

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Observation 1dcc37d6-99ef-4c2a-8d26-e52b3633319b · outbound

This paper cites Hyt¨ onen, J.M.A.M.

Sharp bounds for non-trace class noise and applications to SPDEs Hyt¨ onen, J.M.A.M

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:06.239383Z

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Observation 185481ef-eb30-471c-9310-abf039ec7814 · outbound

This paper cites Khoshnevisan.Analysis of stochastic partial differential equations, volume 119 ofCBMS Reg.

Sharp bounds for non-trace class noise and applications to SPDEs Khoshnevisan.Analysis of stochastic partial differential equations, volume 119 ofCBMS Reg

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:06.389617Z

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Observation f5dac37b-42a6-4fa8-91af-8fe2046446f1 · outbound

This paper cites an unresolved cited work.

Sharp bounds for non-trace class noise and applications to SPDEs Unresolved cited work

Reference 42

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Observation bd7f25b0-2f03-420f-8f69-8a757ec8dff9 · outbound

This paper cites Lang and C.

Sharp bounds for non-trace class noise and applications to SPDEs Lang and C

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:06.771071Z

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Observation b38f61c6-001e-4cf1-ad5e-ff5888819469 · outbound

This paper cites Levitina, F.

Sharp bounds for non-trace class noise and applications to SPDEs Levitina, F

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:06.968498Z

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Observation 45736874-14b2-4978-a21b-8649d42e08ab · outbound

This paper cites Lindgren, H.

Sharp bounds for non-trace class noise and applications to SPDEs Lindgren, H

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:07.191005Z

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Observation 01dffbc3-b0a0-4060-9fb6-2472802f375b · outbound

This paper cites Lunardi.Interpolation theory.

Sharp bounds for non-trace class noise and applications to SPDEs Lunardi.Interpolation theory

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:07.350641Z

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Observation 0339f62d-272b-4016-8a24-d1915bfd3051 · outbound

This paper cites Mart ´ ınez Carracedo and M.

Sharp bounds for non-trace class noise and applications to SPDEs Mart ´ ınez Carracedo and M

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:07.574747Z

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Observation 1799521c-fdae-4995-aa3a-a799e6a6cbe2 · outbound

This paper cites van Neerven, M.C.

Sharp bounds for non-trace class noise and applications to SPDEs van Neerven, M.C

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:07.744926Z

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Observation b9a86e5a-46ca-4614-a695-aa143a5fd896 · outbound

This paper cites van Neerven, M.C.

Sharp bounds for non-trace class noise and applications to SPDEs van Neerven, M.C

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:07.920645Z

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Observation 7069c0e0-d2fc-46c5-95f7-ecf448289ca6 · outbound

This paper cites Rasmussen and C.K.I.

Sharp bounds for non-trace class noise and applications to SPDEs Rasmussen and C.K.I

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:08.089556Z

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Observation 8bfc643b-30e2-4e31-82c4-bf6436988384 · outbound

This paper cites Rue and L.

Sharp bounds for non-trace class noise and applications to SPDEs Rue and L

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:08.117049Z

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Observation 393d95b3-72bc-4377-86da-d958b64d821b · outbound

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Sharp bounds for non-trace class noise and applications to SPDEs Unresolved cited work

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:08.120365Z

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Observation 9779efd7-0b9c-454b-b825-f68db49ebca9 · outbound

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Sharp bounds for non-trace class noise and applications to SPDEs Unresolved cited work

Reference 53

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Observation 59fde3f7-9b41-4903-a029-e93b51a9a89b · outbound

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Sharp bounds for non-trace class noise and applications to SPDEs Unresolved cited work

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:08.312237Z

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Observation 34189a14-1eb7-48c7-9a86-201a91044cbe · outbound

This paper cites Sanz-Sol´ e and M.

Sharp bounds for non-trace class noise and applications to SPDEs Sanz-Sol´ e and M

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:08.407188Z

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Observation 3bb8ea80-d87f-4699-b345-ad121759563b · outbound

This paper cites Sawano.Theory of Besov spaces, volume 56 ofDevelopments in Mathematics.

Sharp bounds for non-trace class noise and applications to SPDEs Sawano.Theory of Besov spaces, volume 56 ofDevelopments in Mathematics

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:08.547929Z

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Observation 01621178-1950-4ad9-b028-0ffb21ac4fd5 · outbound

This paper cites Schnaubelt and M.C.

Sharp bounds for non-trace class noise and applications to SPDEs Schnaubelt and M.C

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:08.719317Z

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Observation 85b51f0c-3d9e-410c-b23a-8405e8110c30 · outbound

This paper cites Schnaubelt and M.C.

Sharp bounds for non-trace class noise and applications to SPDEs Schnaubelt and M.C

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:08.895773Z

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Observation eed9781a-c1c9-4e44-b6f5-35caff0a56e7 · outbound

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Sharp bounds for non-trace class noise and applications to SPDEs Unresolved cited work

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:09.102998Z

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Observation 3ecf6410-5924-4bad-9fe0-1edd85c0ba12 · outbound

This paper cites Simon.Trace ideals and their applications, volume 120 ofMathematical Surveys and Monographs.

Sharp bounds for non-trace class noise and applications to SPDEs Simon.Trace ideals and their applications, volume 120 ofMathematical Surveys and Monographs

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:09.271148Z

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Observation 9547ccf2-cda9-43d3-9781-c5dd47319da1 · outbound

This paper cites Stein.Interpolation of spatial data.

Sharp bounds for non-trace class noise and applications to SPDEs Stein.Interpolation of spatial data

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:09.383341Z

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Observation b252989f-d885-4b4a-b36d-d7faf046f205 · outbound

This paper cites Triebel.Theory of function spaces, volume 78 ofMonographs in Mathematics.

Sharp bounds for non-trace class noise and applications to SPDEs Triebel.Theory of function spaces, volume 78 ofMonographs in Mathematics

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:09.555893Z

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Observation a2b03f42-a26b-4292-919e-e8b249b18bcc · outbound

This paper cites Triebel.Interpolation theory, function spaces, differential operators.

Sharp bounds for non-trace class noise and applications to SPDEs Triebel.Interpolation theory, function spaces, differential operators

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-03T07:49:09.709517Z

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Observation 6e6b9413-f60f-4b62-bb2c-bb286a572ff4 · outbound

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Sharp bounds for non-trace class noise and applications to SPDEs Unresolved cited work

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An optimal local theory for reaction-diffusion equations driven by non-trace-class noise cites this paper.

An optimal local theory for reaction-diffusion equations driven by non-trace-class noise Sharp bounds for non-trace class noise and applications to SPDEs

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