Uniform Fourier Restriction Estimate for Simple Curves of Bounded Frequency
Abstract In this paper we prove a uniform Fourier restriction estimate over the class of simple curves where the last coordinate function can be extended to a holomorphic function of bounded frequency in a sufficiently large disc. The proof is based on a decomposition scheme for this class of functions.
Authors
- Jaume de Dios Pont (ORCID: https://orcid.org/0000-0002-2921-960X)
- Helge J. Samuelsen (ORCID: https://orcid.org/0009-0004-9035-3121)
Institutions
- Teach For America (US)
- Norwegian University of Science and Technology (NO)
Publication Details
- Journal
- Journal of Geometric Analysis
- Published
- 2026-05-11
- DOI
- https://doi.org/10.1007/s12220-026-02456-3
- Primary Topic
- Holomorphic and Operator Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Norges Teknisk-Naturvitenskapelige Universitet
- Trond Mohn stiftelse
- St. Olavs Hospital Universitetssykehuset i Trondheim