Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
function space
|
| gptkbp:alsoKnownAs |
space of rapidly decreasing functions
|
| gptkbp:closed |
gptkb:Fourier_transform
differentiation multiplication by polynomials |
| gptkbp:contains |
rapidly decreasing smooth functions
|
| gptkbp:definedIn |
gptkb:Euclidean_space
|
| gptkbp:denotedBy |
S(R^n)
|
| gptkbp:generalizes |
space of test functions
|
| gptkbp:hasSubgroup |
space of smooth functions
|
| https://www.w3.org/2000/01/rdf-schema#label |
Schwartz class
|
| gptkbp:importantFor |
gptkb:signal_processing
quantum mechanics theory of partial differential equations tempered distributions |
| gptkbp:namedAfter |
gptkb:Laurent_Schwartz
|
| gptkbp:property |
all derivatives decrease faster than any polynomial increases
|
| gptkbp:topology |
gptkb:Fréchet_space
|
| gptkbp:usedIn |
Fourier analysis
functional analysis distribution theory |
| gptkbp:bfsParent |
gptkb:Marie-Hélène_Schwartz
|
| gptkbp:bfsLayer |
6
|