Statements (15)
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 |
https://www.w3.org/2000/01/rdf-schema#label |
Pompeiu problem
|
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:Dimitrie_Pompeiu
|
gptkbp:bfsLayer |
6
|