Band-Limited Maximizers for a Fourier Extension Inequality on the Circle

Diogo Oliveira e Silva*, Christoph Thiele, Pavel Zorin-Kranich

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

Among the class of functions with Fourier modes up to degree 30, constant functions are the unique real-valued maximizers for the endpoint Tomas–Stein inequality on the circle.

Original languageEnglish
JournalExperimental Mathematics
DOIs
Publication statusAccepted/In press - 2019

Bibliographical note

Publisher Copyright:
© 2019, © 2019 Taylor & Francis Group, LLC.

Copyright:
Copyright 2019 Elsevier B.V., All rights reserved.

Keywords

  • Bessel functions
  • circle
  • Sharp Fourier restriction theory

ASJC Scopus subject areas

  • Mathematics(all)

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