Plancherel theorem
id:
plancherel-theorem-324-8176879
title:
Plancherel theorem
text:
In mathematics, the Plancherel theorem is a result in harmonic analysis, proven by Michel Plancherel in 1910. It states that the integral of a function's squared modulus is equal to the integral of the squared modulus of its frequency spectrum. That is, if f is a function on the real line, and f ^ is its frequency spectrum, then A more precise formulation is that if a function is in both Lp spaces L 1 and L 2 , then its Fourier transform is in L 2 , and the Fourier transform map is an isometry w
brand slug:
wiki
category slug:
encyclopedia
description:
Theorem in harmonic analysis
original url:
https://en.wikipedia.org/wiki/Plancherel_theorem
date created:
date modified:
2023-12-06T05:24:10Z
main entity:
{"identifier":"Q2096184","url":"https://www.wikidata.org/entity/Q2096184"}
image:
fields total:
13
integrity:
14