Math-14538 · mathematics · Analysis

Math-14538

Unspecified Harmonic Analysis Incidence Problem

Status Open · unsolvedmath.comLLM status Open unverified

Top Open Problems Not reported cataloguedOpenOpen

Statement

Definitions and mathematical statement

Unrecoverable mathematical statement. The supplied record for permanent UnsolvedMath ID $30005542$ contains a table-of-contents fragment, not a mathematical problem. Its opening word "problem" is followed by a page reference to 1405 without an identifiable associated statement. The remaining entries give talk titles, contributors, and page references from 1407 through 1425. These entries do not supply definitions, hypotheses, domains, boundary conditions, quantifiers, or a conclusion to be proved or disproved. Consequently, no precise mathematical statement or associated definitions can be recovered from the supplied evidence.

The registry title, "Unspecified Harmonic Analysis Incidence Problem," does not identify an intended mathematical target. None of the listed talks can be selected as that target from this record. The supplied statement_status is unrecoverable, and the supplied verification states that no separate clean statement has been promoted; the original record remains publicly visible for provenance. The registry's open label reflects the supplied curation's classification of an unclear resolution, rather than a verified open conjecture.

Short English statement

This record preserves a workshop table-of-contents fragment. It contains no recoverable mathematical question. A substantive source passage identifying the intended problem is needed before definitions and a precise statement can be written. The supplied "open" classification is a curation label, not an independently verified mathematical status.

Sources

  • Local UnsolvedMath registry, permanent ID $30005542$, exact source problem code catalogue entry, in the collection Oberwolfach Reports Open Problems. The record supplies proposed year 2023 but no proposer and no clean statement. Its original and displayed statements contain the same table-of-contents fragment, retained as context and provenance.
  • Supplied report citation: Incidence Problems in Harmonic Analysis, Geometric Measure Theory, and Ergodic Theory (2023), Oberwolfach Reports, pp. 1397--1452, DOI 10.4171/owr/2023/25. Supplied link: https://doi.org/10.4171/owr/2023/25. The supplied background describes Oberwolfach Reports as documenting mathematical workshops and their open-problem discussions; this does not identify a problem in the extracted fragment.
  • Supplied literature source, labeled "OWR 2023 25": https://publications.mfo.de/bitstream/handle/mfo/4055/OWR_2023_25.pdf?sequence=1. The literature assessment dated 2026-08-22 is supplied dated curation, not independently verified here. It classifies the record as open because the extracted value is a table-of-contents fragment rather than a well-defined mathematical claim, leaving its resolution unclear. The supplied background explicitly calls this dated literature triage and requests independent verification of time-sensitive status and cited claims.
  • Attribution within the supplied fragment, preserved as contents entries rather than attribution of a conjecture:
    • Unidentified preceding entry ending with "problem," p. 1405.
    • Balázs Bárány, joint with Roope Anttila and Antti Käenmäki: "On the Assouad dimension of the Takagi function," p. 1407.
    • Amir Algom, joint with Yuanyang Chang, Meng Wu and Yu-Liang Wu: "Polynomial Fourier decay for smooth images of self-similar measures," p. 1410.
    • Marianna Csörnyei: "Effective methods in geometric measure theory," p. 1411.
    • Alexia Yavicoli: "Thickness and a Gap Lemma in Rd," p. 1412. The source's notation "Rd" is retained without interpreting it as a specified mathematical domain.
    • Shaoming Guo: "Orthogonal projections of fractal sets," p. 1413.
    • Lars Becker: "Sharp Fourier extension from the circle for functions with localized support," p. 1414.
    • Contributor rendered in the extraction as "Damian Da˛ browski": "Quantifying Besicovitch projection theorem," p. 1415.
    • Marina Iliopoulou, joint with Anthony Carbery and Bassam Shayya: "Some remarks on the Mizohata--Takeuchi conjecture," p. 1417.
    • Tamás Keleti, joint with András Máthé: "Equivalences between different forms of the Kakeya conjecture and duality of Hausdorff and packing dimensions for additive complements," p. 1420.
    • Orit E. Raz, joint with Joshua Zahl: "Hausdorff-dimension analogue of the Elekes--Ronyai theorem and applications," p. 1422; the supplied extraction renders the theorem name as "Elekes--Ronyái."
    • Michael Hochman: "Symmetries of Cantor sets," p. 1423.
    • Lauritz Streck: "Entropy Rates in Fractal Geometry," p. 1425.

Catalogue entry

Statement licence: CC-BY-SA-4.0 · Source file

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