Pith. sign in

REVIEW 1 cited by

Microlocal analysis of the light ray transform on globally hyperbolic Lorentzian manifolds

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2104.08576 v1 pith:ZZ2DRHYT submitted 2021-04-17 math.AP

Yiran Wang This is my paper · ORCID
classification math.AP
keywords lighttransformgloballyhyperboliclorentzianmanifoldsnormaloperator
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

For the light ray transform on globally hyperbolic Lorentzian manifolds of dimension $n+1 \geq 3$ acting on compactly supported distributions, we show that the Schwartz kernel of the normal operator is a paired Lagrangian distribution with non-vanishing principal symbols on each Lagrangians. We obtain Sobolev estimates for the light ray transform, and clarify the determination of light-like singularities using the normal operator.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Reconstruction of the observable universe from the integrated Sachs-Wolfe effect

    math-ph 2025-07 conditional novelty 6.0 of 10

    Proves a stability theorem for recovering early-universe perturbations in a shell near the last scattering surface from partial ISW line integral data, with a 2D numerical demonstration.

Pith tools