| dbo:abstract
|
- The Fourier operator is the kernel of the Fredholm integral of the first kind that defines the continuous Fourier transform, and is a two-dimensional function when it corresponds to the Fourier transform of one-dimensional functions. It is complex-valued and has a constant (typically unity) magnitude everywhere. When depicted, e.g. for teaching purposes, it may be visualized by its separate real and imaginary parts, or as a colour image using a colour wheel to denote phase. It is usually denoted by a capital letter "F" in script font, e.g. the Fourier transform of a function would be written using the operator as . It may be thought of as a limiting case for when the size of the discrete Fourier transform increases without bound while its spatial resolution also increases without bound, so as to become both continuous and not necessarily periodic. (en)
|
| dbo:thumbnail
| |
| dbo:wikiPageID
| |
| dbo:wikiPageLength
|
- 3787 (xsd:nonNegativeInteger)
|
| dbo:wikiPageRevisionID
| |
| dbo:wikiPageWikiLink
| |
| dbp:caption
|
- Imaginary part (en)
- Real part (en)
|
| dbp:footer
|
- A plot of the Fourier operator (en)
|
| dbp:image
|
- Fourieropi.png (en)
- Fourieropr.png (en)
|
| dbp:width
| |
| dbp:wikiPageUsesTemplate
| |
| dcterms:subject
| |
| gold:hypernym
| |
| rdf:type
| |
| rdfs:comment
|
- The Fourier operator is the kernel of the Fredholm integral of the first kind that defines the continuous Fourier transform, and is a two-dimensional function when it corresponds to the Fourier transform of one-dimensional functions. It is complex-valued and has a constant (typically unity) magnitude everywhere. When depicted, e.g. for teaching purposes, it may be visualized by its separate real and imaginary parts, or as a colour image using a colour wheel to denote phase. (en)
|
| rdfs:label
| |
| owl:sameAs
| |
| prov:wasDerivedFrom
| |
| foaf:depiction
| |
| foaf:isPrimaryTopicOf
| |
| is dbo:wikiPageDisambiguates
of | |
| is dbo:wikiPageWikiLink
of | |
| is foaf:primaryTopic
of | |
