Babenko–Beckner inequality
id:
babenko-beckner-inequality-281-12103783
title:
Babenko–Beckner inequality
text:
In mathematics, the Babenko–Beckner inequality (after Konstantin I. Babenko and William E. Beckner) is a sharpened form of the Hausdorff–Young inequality having applications to uncertainty principles in the Fourier analysis of Lp spaces. The (q, p)-norm of the n-dimensional Fourier transform is defined to be In 1961, Babenko found this norm for even integer values of q. Finally, in 1975, using Hermite functions as eigenfunctions of the Fourier transform, Beckner proved that the value of this nor
brand slug:
wiki
category slug:
encyclopedia
description:
Theorem of Fourier analysis
original url:
https://en.wikipedia.org/wiki/Babenko%E2%80%93Beckner_inequality
date created:
date modified:
2023-10-15T00:47:56Z
main entity:
{"identifier":"Q4837774","url":"https://www.wikidata.org/entity/Q4837774"}
image:
fields total:
13
integrity:
14