Statements (51)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
Piecewise continuous functions
Square-integrable functions |
| gptkbp:basisFor |
Orthogonal functions
|
| gptkbp:component |
Complex exponentials
Cosine functions Sine functions |
| gptkbp:describes |
Periodic functions
|
| gptkbp:field |
gptkb:Mathematics
gptkb:Physics gptkb:signal_processing |
| gptkbp:firstPublished |
gptkb:Théorie_analytique_de_la_chaleur
|
| gptkbp:generalizes |
gptkb:Fourier_Transform
|
| gptkbp:hasApplication |
gptkb:Probability_theory
gptkb:Differential_equations gptkb:Acoustics gptkb:Quantum_mechanics Astronomy Economics Image processing Telecommunications Statistics Control systems Nonlinear systems Numerical analysis Cryptography Machine learning Communications Electrical engineering Medical imaging Radar Heat transfer Mechanical engineering Music analysis Seismology Data compression Antenna theory Spectral analysis Speech processing Vibration analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
Fourier Series
|
| gptkbp:introducedIn |
19th century
|
| gptkbp:namedAfter |
gptkb:Jean-Baptiste_Joseph_Fourier
|
| gptkbp:relatedTo |
gptkb:Fourier_Transform
gptkb:Laplace_Transform Harmonic analysis |
| gptkbp:usedFor |
Function approximation
Signal analysis Solving partial differential equations |
| gptkbp:bfsParent |
gptkb:Trigonometric_Series
|
| gptkbp:bfsLayer |
6
|