Paper Citation Record · LEDGER

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation

As of 12 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:2502.04859.

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

pith.paper-citation-record.v1
2502.04859 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T21:21:36.679960Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T00:44:14.961473Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-12T00:44:15.098596Z

Reference resolution

30 of 30 outbound references displayed

verified exact0
verified fuzzy26
unresolved4
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7a8146b0-c0f0-4bae-92ad-744c8a2df72d · outbound

This paper cites On Fourier transforms of measur es with compact support.

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation On Fourier transforms of measur es with compact support

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T21:21:37.251959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation cbddc614-1b02-45d7-a35a-8167daf2c795 · outbound

This paper cites Control and nonlinearity , volume 136 of Mathematical Surveys and Monographs.

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation Control and nonlinearity , volume 136 of Mathematical Surveys and Monographs

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T21:21:37.232299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d1a9ab54-3226-483d-b4ff-7f1f6406370d · outbound

This paper cites Singular optimal contr ol: a linear 1-D parabolic-hyperbolic example.

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation Singular optimal contr ol: a linear 1-D parabolic-hyperbolic example

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T21:21:37.212510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation fc698d58-92c0-4bea-a37e-933705a996cb · outbound

This paper cites On the cost of observability in small times for the one-dimensional heat equation.

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation On the cost of observability in small times for the one-dimensional heat equation

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T21:21:37.191085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation db6978bd-27ea-4193-9edd-8bf0d916e80e · outbound

This paper cites Hilbert spaces of entire functions.

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation Hilbert spaces of entire functions

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T21:21:37.170980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 693322ca-4616-4bc1-b7c3-412651d85c81 · outbound

This paper cites Fattorini and David L.

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation Fattorini and David L

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T21:21:37.142189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0e3df5be-5432-4a4c-9b4b-73cb57e8f609 · outbound

This paper cites Null and approximate controllability for weakly blowing up semilinear heat equations.

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation Null and approximate controllability for weakly blowing up semilinear heat equations

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T21:21:37.122866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a31c3d2e-5043-43ed-8860-9a781a13d331 · outbound

This paper cites Uniform controllability of a trans port equation in zero diﬀusion- dispersion limit.

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation Uniform controllability of a trans port equation in zero diﬀusion- dispersion limit

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T21:21:37.105918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation cd86f864-6a48-4ba6-a1f5-f250935362cd · outbound

This paper cites G¨ uichal.

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation G¨ uichal

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T21:21:37.085753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7b3c672d-769a-4129-b64d-3081bc475a57 · outbound

This paper cites A higher-dimensional Bourgain-Dyatlo v fractal uncertainty principle.

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation A higher-dimensional Bourgain-Dyatlo v fractal uncertainty principle

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T21:21:37.067503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 32911737-e998-4bfa-8912-bbfa47aa4b4d · outbound

This paper cites The uncertainty principle in harmonic analysis , volume 28 of Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Resu lts in Mathematics and Related Areas (3)].

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation The uncertainty principle in harmonic analysis , volume 28 of Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Resu lts in Mathematics and Related Areas (3)]

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T21:21:37.048628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a8d627d5-a920-4915-8ff1-e8191feeed76 · outbound

This paper cites Admissible majorants for mod el subspaces of H 2.

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation Admissible majorants for mod el subspaces of H 2

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T21:21:37.030888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 978af16e-c886-44b0-a814-29b92c648abf · outbound

This paper cites The analysis of linear partial diﬀerential operators.

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation The analysis of linear partial diﬀerential operators

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T21:21:37.014646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f85fdd21-f553-4599-8bd9-f6c0355a5c26 · outbound

This paper cites Fractal uncertainty principle with e xplicit exponent.

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation Fractal uncertainty principle with e xplicit exponent

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T21:21:36.997662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 95c5e664-fb01-4a0f-8223-1139e1ec189e · outbound

This paper cites an unresolved cited work.

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-08T21:21:36.980382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a891a723-09b7-438f-ab76-4a6d75457a06 · outbound

This paper cites an unresolved cited work.

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-08T21:21:36.963327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 156252f1-957d-4cff-9b13-6cc0a3df040f · outbound

This paper cites A note on Hilbert transforms.

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation A note on Hilbert transforms

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T21:21:36.946905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8e7b97d0-c99c-481b-83bb-3cebb1487b34 · outbound

This paper cites Harmonic estimation in certain slit regions and a theo rem of Beurling and Malliavin.

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation Harmonic estimation in certain slit regions and a theo rem of Beurling and Malliavin

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T21:21:36.930911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 11a49a0f-0af6-4b69-85a6-009473bb5863 · outbound

This paper cites The logarithmic integral.

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation The logarithmic integral

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T21:21:36.914739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 20cabe46-156f-424c-bbcc-0e982b08cac7 · outbound

This paper cites On the cost of fast controls for some families of dis persive or parabolic equations in one space dimension.

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation On the cost of fast controls for some families of dis persive or parabolic equations in one space dimension

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T21:21:36.897915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8a2e99eb-d0e5-48b1-84b8-2b3576a3a46e · outbound

This paper cites an unresolved cited work.

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-08T21:21:36.881868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 24b3cd91-0d76-4664-abf7-27b39dc6e305 · outbound

This paper cites Construction of Gevrey functions with compact s upport using the Bray-Mandelbrojt iterative process and applications to the moment method in control theory.

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation Construction of Gevrey functions with compact s upport using the Bray-Mandelbrojt iterative process and applications to the moment method in control theory

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T21:21:36.865982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3a957abc-6eac-48b5-863b-75908a0ca3d4 · outbound

This paper cites The Beurlin g-Malliavin multiplier theorem: the seventh proof.

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation The Beurlin g-Malliavin multiplier theorem: the seventh proof

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T21:21:36.844977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d6ec49ed-34c5-4a08-b2a2-84b5e2bf14c1 · outbound

This paper cites Uniform boundary controllability of a semi-discrete 1- D wave equation.

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation Uniform boundary controllability of a semi-discrete 1- D wave equation

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T21:21:36.827579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation cfd950b9-7926-4b70-b7ed-4f6d1bd4299e · outbound

This paper cites Geometric bounds on the growth rate of null-controlla bility cost for the heat equation in small time.

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation Geometric bounds on the growth rate of null-controlla bility cost for the heat equation in small time

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T21:21:36.809477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 30a51993-fa32-42a9-ab09-cc5ba322a051 · outbound

This paper cites How violent are fast controls for Schr¨ odinger and pla te vibrations? Arch.

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation How violent are fast controls for Schr¨ odinger and pla te vibrations? Arch

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T21:21:36.791789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7c92bb89-fe1d-4448-8ea4-d010b2153938 · outbound

This paper cites The control transmutation method and the cost of f ast controls.

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation The control transmutation method and the cost of f ast controls

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T21:21:36.775148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 218d492a-c70f-464d-8791-e8dcc60b1787 · outbound

This paper cites an unresolved cited work.

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-08T21:21:36.757268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1bda186b-c89d-48d4-8408-f3fd8f276627 · outbound

This paper cites New blow-up rates for fast controls of Schr¨ odinger and heat equations.

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation New blow-up rates for fast controls of Schr¨ odinger and heat equations

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T21:21:36.740679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 32e2e086-dac3-4af5-9d9c-dce7c2f81037 · outbound

This paper cites Observation and control for operator semigroups.

Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation Observation and control for operator semigroups

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T21:21:36.721405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

Observation b3d87d7e-033b-467f-b890-3f836b047306 · inbound

Optimal cost of fast boundary controls for the one-dimensional heat equation cites this paper.

Optimal cost of fast boundary controls for the one-dimensional heat equation Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-12T00:44:15.107933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.