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

Diogo Oliveira e Silva; Christoph Thiele; Pavel Zorin-Kranich

doi:10.1080/10586458.2019.1596847

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

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Journal	Experimental Mathematics
DOIs	https://doi.org/10.1080/10586458.2019.1596847
Publication status	Accepted/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

General Mathematics

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10.1080/10586458.2019.1596847

Cite this

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title = "Band-Limited Maximizers for a Fourier Extension Inequality on the Circle",

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.",

keywords = "Bessel functions, circle, Sharp Fourier restriction theory",

author = "\{Oliveira e Silva\}, Diogo and Christoph Thiele and Pavel Zorin-Kranich",

year = "2019",

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language = "English",

journal = "Experimental Mathematics",

issn = "1058-6458",

publisher = "Taylor \& Francis",

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AU - Oliveira e Silva, Diogo

AU - Thiele, Christoph

AU - Zorin-Kranich, Pavel

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

KW - Bessel functions

KW - circle

KW - Sharp Fourier restriction theory

UR - https://www.scopus.com/pages/publications/85064055213

U2 - 10.1080/10586458.2019.1596847

DO - 10.1080/10586458.2019.1596847

M3 - Article

AN - SCOPUS:85064055213

SN - 1058-6458

JO - Experimental Mathematics

JF - Experimental Mathematics

ER -

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this