Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
functions on the unit circle
|
| gptkbp:countryOfOrigin |
gptkb:Russia
|
| gptkbp:field |
Fourier analysis
mathematical analysis |
| gptkbp:namedAfter |
gptkb:Dmitri_Menshov
|
| gptkbp:publishedIn |
gptkb:Matematicheskii_Sbornik
|
| gptkbp:relatedTo |
Fourier series
Luzin's conjecture |
| gptkbp:sentence |
There exists a trigonometric series that converges almost everywhere to zero but is not the zero series.
|
| gptkbp:shows |
pointwise convergence of Fourier series can fail for some functions
|
| gptkbp:yearProved |
1916
|
| gptkbp:bfsParent |
gptkb:Dmitri_Menshov
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Menshov's theorem
|