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Schwartz space

In mathematics, Schwartz space S {\displaystyle {\mathcal {S}}} is the function space of all functions whose derivatives of all orders are rapidly decreasing. This space has the important property that the Fourier transform is an automorphism on this space. This property enables one, by duality, to define the Fourier transform for elements in the dual…

Art, Properties & Definition

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Overview

Definition

Examples of functions in the Schwartz space

Properties

Sources

Advanced semantic analysis

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Map overview Semantic statistics

Schwartz space

Nodes53
Edges52
Triples11
Avg. degree1.96
Density0.037736
Components1

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Schwartz space

Top relations

related to Examples of functions in the Schwartz space · 6
Schwartz space → Any, Because, If, In, Schwartz, This
related to Definition · 4
Schwartz space → Cartesian, Here, Let, The Schwartz
is a · 1
Schwartz space → vector space

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Important terminology

displaystyle space mathbb mathcal right left schwartz function fourier functions boldsymbol isbn infty alpha rapidly decreasing transform property spaces vector

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Schwartz spaceis avector space0.90text
Schwartz spacerelated to DefinitionLet0.60section
Schwartz spacerelated to DefinitionCartesian0.60section
Schwartz spacerelated to DefinitionThe Schwartz0.60section
Schwartz spacerelated to DefinitionHere0.60section
Schwartz spacerelated to Examples of functions in the Schwartz spaceIf0.60section
Schwartz spacerelated to Examples of functions in the Schwartz spaceAny0.60section
Schwartz spacerelated to Examples of functions in the Schwartz spaceThis0.60section
Schwartz spacerelated to Examples of functions in the Schwartz spaceBecause0.60section
Schwartz spacerelated to Examples of functions in the Schwartz spaceSchwartz0.60section
Schwartz spacerelated to Examples of functions in the Schwartz spaceIn0.60section

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    Min side: 3
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