Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:integral
|
| gptkbp:application |
number theory
image analysis asymptotic analysis solution of differential equations scale-invariant pattern recognition |
| gptkbp:domain |
functions on (0, ∞)
|
| gptkbp:form |
M{f}(s) = ∫₀^∞ x^{s-1} f(x) dx
|
| https://www.w3.org/2000/01/rdf-schema#label |
Mellin transform
|
| gptkbp:inverseTransform |
inverse Mellin transform
|
| gptkbp:mapsFunctionFrom |
real line
|
| gptkbp:mapsFunctionTo |
gptkb:complex_plane
|
| gptkbp:namedAfter |
gptkb:Hjalmar_Mellin
|
| gptkbp:property |
gptkb:convolution_theorem
duality with Laplace and Fourier transforms scaling property |
| gptkbp:range |
complex-valued functions
|
| gptkbp:relatedTo |
gptkb:Laplace_transform
gptkb:Fourier_transform two-sided Laplace transform |
| gptkbp:usedIn |
gptkb:mathematics
engineering physics |
| gptkbp:bfsParent |
gptkb:lion
|
| gptkbp:bfsLayer |
4
|