Pith. sign in

REVIEW 1 cited by

Obtaining the Fourier spectrum via Fourier coefficients

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 2403.12603 v1 pith:HRJ6VHBF submitted 2024-03-19 math.CA math.FA

Marc Carnovale , Jonathan M. Fraser , Ana E. de Orellana This is my paper · ORCID
classification math.CAmath.FA
keywords fourierspectrumcoefficientsdimensionsenergiesrepresentationapplicationauthor
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

The Fourier spectrum is a family of dimensions that interpolates between the Fourier and Hausdorff dimensions and are defined in terms of certain energies which capture Fourier decay. In this paper we obtain a convenient discrete representation of those energies using the Fourier coefficients. As an example application, we use this representation to establish sharp bounds for the Fourier spectrum of a general measure with bounded support, improving previous estimates of the second-named author

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. Applications of dimension interpolation to orthogonal projections

    math.MG 2025-02 conditional novelty 1.0 of 10

    This survey shows how the Assouad spectrum, intermediate dimensions, and Fourier spectrum yield sharper projection theorems for fractal sets.

Pith tools