Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T18:31:11.084857Z
Paper Citation Record · LEDGER
Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem
As of 22 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 2 inbound Pith citation observations for arXiv:2506.20121.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-13T12:43:29.044156Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-04T06:49:38.091484Z
Reference resolution
20 of 20 outbound references displayed
- verified exact0
- verified fuzzy9
- unresolved10
- parse uncertain0
- malformed identifier1
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation a4693f7d-7847-4ba8-a5b4-f045140431f0 · outbound
This paper cites A guide to distribution theory and Fourier transforms.
Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem A guide to distribution theory and Fourier transforms
Reference 1
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-15T18:31:10.994286Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 89575bae-0c1e-44bc-8dc9-5667c55c92c8 · outbound
This paper cites Representation theorems for solutions of the H elmholtz equation on R ^n.
Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem Representation theorems for solutions of the H elmholtz equation on R ^n
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:31:11.440674Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 540c9545-5f39-4cfd-9e2f-a6c232f57ac8 · outbound
This paper cites Helmholtz equations for the L aplace operator and its powers.
Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem Helmholtz equations for the L aplace operator and its powers
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:31:11.005125Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 344deee1-1bf0-4ec6-be96-3831cebc6540 · outbound
This paper cites Localization for general H elmholtz.
Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem Localization for general H elmholtz
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:31:11.009851Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e007a2c9-8367-4ff9-b776-3cb5e2262542 · outbound
This paper cites The C auchy problem associated to the logarithmic L aplacian with an application to the fundamental solution.
Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem The C auchy problem associated to the logarithmic L aplacian with an application to the fundamental solution
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:31:11.389293Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 86295504-9378-4e3d-ae6b-ca694c798819 · outbound
This paper cites The D irichlet problem for the logarithmic L aplacian.
Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem The D irichlet problem for the logarithmic L aplacian
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:31:11.019411Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 513a23c0-254e-4477-838a-2223760b7cfb · outbound
This paper cites Solution of some problems of division.
Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem Solution of some problems of division
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:31:11.356664Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation c9971586-8724-4bdf-887e-3f8d74346dde · outbound
This paper cites Solution of some problems of division.
Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem Solution of some problems of division
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:31:11.335372Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 01c0fe76-24e3-4385-bec8-0f96f61aa9cb · outbound
This paper cites Entire s -harmonic functions are affine.
Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem Entire s -harmonic functions are affine
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:31:11.033995Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 81ff8d16-0135-441e-8753-42026cca6d7c · outbound
This paper cites Liouville theorems for a general class of nonlocal operators.
Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem Liouville theorems for a general class of nonlocal operators
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:31:11.038588Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 939b5a49-c519-4e5b-a88d-24022efd3dbf · outbound
This paper cites Helmholtz solutions for the fractional L aplacian and other related operators.
Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem Helmholtz solutions for the fractional L aplacian and other related operators
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:31:11.043245Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e9b1de90-5fe6-4c77-8223-2a86e70d82ab · outbound
This paper cites Classical F ourier analysis , volume 249 of Graduate Texts in Mathematics.
Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem Classical F ourier analysis , volume 249 of Graduate Texts in Mathematics
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:31:11.048145Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e6f8a24e-d19f-4c0d-92d9-189f9960c358 · outbound
This paper cites Characterization of solutions of a generalized Helmholtz problem.
Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem Characterization of solutions of a generalized Helmholtz problem
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:31:11.053081Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation baecb9be-b23d-4aa9-9410-341aa3c9e2ae · outbound
This paper cites Existence et approximation des solutions des \' e quations aux d\' e riv\' e es partielles et des \' e quations de convolution.
Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem Existence et approximation des solutions des \' e quations aux d\' e riv\' e es partielles et des \' e quations de convolution
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:31:11.264853Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation baf2ba7e-2907-45f7-88dd-b03284133ce1 · outbound
This paper cites Distributions, partial differential equations, and harmonic analysis.
Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem Distributions, partial differential equations, and harmonic analysis
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:31:11.246935Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 4630680c-1d60-4333-9026-14ab2818526f · outbound
This paper cites Fundamental solutions of linear partial differential operators.
Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem Fundamental solutions of linear partial differential operators
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:31:11.226953Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 2b0eed99-f5b1-4b7a-95c3-70a4a0bb83ad · outbound
This paper cites Regularised integrals, sums and traces , volume 59 of University Lecture Series.
Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem Regularised integrals, sums and traces , volume 59 of University Lecture Series
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:31:11.208824Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 7ed4b8b9-7966-47ca-b80b-71c92cc63082 · outbound
This paper cites an unresolved cited work.
Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem Unresolved cited work
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:31:11.075185Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6506d546-ffe0-4111-a834-c9437cec9f2e · outbound
This paper cites Th\' e orie des distributions.
Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem Th\' e orie des distributions
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:31:11.080560Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 33b7c0cc-ac97-4f18-9c0e-5bd6da5f04d7 · outbound
This paper cites Convergence rates of the fractional to the local dirichlet problem, 2024.
Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem Convergence rates of the fractional to the local dirichlet problem, 2024
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:31:11.158826Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Pith citing papers
Observation 7e653917-24de-42c2-9dc7-1255c414e8a7 · inbound
Extension theorems for logarithmic Schr\"odinger and discrete Laplacian operators cites this paper.
Extension theorems for logarithmic Schr\"odinger and discrete Laplacian operators Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem
Reference 35
- Resolution
- unresolved
- no resolver link, observed 2026-07-13T12:43:29.044156Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f9161a98-6b75-436c-bf6a-a6710a9a2a13 · inbound
On $m$-order logarithmic Schr\"odinger operator cites this paper.
On $m$-order logarithmic Schr\"odinger operator Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem
Reference 23
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T06:49:38.093417Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.