Fourier transform

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-19.1

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https://metanorma.github.io/isq-smart/math/part-2-19/t2-19.1
urn:iso:std:iso:80000:-2:ed-2:en:item:2-19.1

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-19.1

IEC

urn:iec:std:iec:80000-2:2019:::item:2-19.1

Designations

ENFourier transform

FRtransformée de Fourier

Symbol

𝓕 f

Notation systems

AsciiMath

𝓕 f

LaTeX

𝓕 f

Definition

Fourier transform of $f$

transformée de Fourier de $f$

Notes

$(𝓕 f) (ω) = \int_{- \infty}^{+ \infty} e^{- i ω t} f (t) d t$

(where $ω \in R$ )

This is often denoted by $𝓕 (ω)$ .

$(𝓕 f) (ω) = \frac{1}{\sqrt{2 π}} \int_{- \infty}^{+ \infty} e^{- i ω t} f (t) d t$

is also used.

$(𝓕 f) (ω) = \int_{- \infty}^{+ \infty} e^{- i ω t} f (t) d t$

(où $ω \in R$ )

Cela est souvent noté $𝓕 (ω)$ .

$(𝓕 f) (ω) = \frac{1}{\sqrt{2 π}} \int_{- \infty}^{+ \infty} e^{- i ω t} f (t) d t$

est aussi utilisé.

Ontology
isq:MathConcept smart:TermEntry

Class Hierarchy

smart:Entity smart:TermEntryisq:MathConcept

A mathematical concept as defined in ISO/IEC 80000 Part 2.

Instance IRI

isq:t2-19.1

Properties

isq:MathConceptShape

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-19.1
skosxl:prefLabel	"Fourier transform"@en
skosxl:altLabel	"𝓕 f"@en
skos:definition	Fourier transform of stem:[f]
skos:note	stem:[(𝓕 f)(omega) = int_(-oo)^(+oo) e^(-i omega t) f(t) "d"t] (where stem:[omega in bb(sf(R))]) This is often…
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-19

Related Entities

isq:MathConceptShape isq:part-2-19 smart:TermEntry