Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
unsolved problems in mathematics
|
| gptkbp:concerns |
gptkb:integral_geometry
|
| gptkbp:describedYear |
1929
|
| gptkbp:field |
gptkb:geometry
mathematical analysis |
| gptkbp:namedAfter |
gptkb:Dimitrie_Pompeiu
|
| gptkbp:relatedTo |
Fourier analysis
harmonic analysis Schwartz functions |
| gptkbp:sentence |
If a continuous function on the plane has the property that its integral over every congruent copy of a given domain is zero, must the function be identically zero?
|
| gptkbp:status |
open problem
|
| gptkbp:bfsParent |
gptkb:Antonio_Augusto_Pompeu_de_Toledo
gptkb:Dimitrie_Pompeiu |
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Pompeiu problem
|