Bohr almost periodic functions
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
harmonic analysis
partial differential equations |
| gptkbp:defines |
A function f is Bohr almost periodic if for every ε > 0, there exists a relatively dense set of ε-almost periods.
|
| gptkbp:field |
mathematical analysis
|
| gptkbp:generalizes |
periodic functions
Stepanov almost periodic functions Besicovitch almost periodic functions |
| https://www.w3.org/2000/01/rdf-schema#label |
Bohr almost periodic functions
|
| gptkbp:introduced |
gptkb:Harald_Bohr
|
| gptkbp:introducedIn |
1925
|
| gptkbp:namedAfter |
gptkb:Harald_Bohr
|
| gptkbp:property |
Bounded and uniformly continuous
Uniform limit of trigonometric polynomials |
| gptkbp:relatedTo |
Fourier analysis
almost periodic functions |
| gptkbp:bfsParent |
gptkb:Levitan_almost_periodic_functions
|
| gptkbp:bfsLayer |
7
|