Statements (51)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematics
|
| gptkbp:appliesTo |
partial differential equations
signals periodic functions |
| gptkbp:focusesOn |
gptkb:Fourier_transform
Fourier series |
| gptkbp:hasConcept |
gptkb:Fejér's_theorem
gptkb:Hilbert_space gptkb:Dirichlet_kernel gptkb:Riemann–Lebesgue_lemma gptkb:Gibbs_phenomenon gptkb:Lebesgue_integration gptkb:Parseval's_theorem gptkb:Plancherel_theorem orthogonality orthonormal basis approximation theory Bessel's inequality distribution theory spectral analysis generalized functions time domain summability methods complex exponentials frequency domain sampling theorem pointwise convergence uniform convergence convergence of Fourier series bandlimited functions Fourier coefficients Dirichlet conditions Fourier cosine series Fourier integral Fourier inversion formula Fourier sine series L^2 convergence |
| https://www.w3.org/2000/01/rdf-schema#label |
Classical Fourier Analysis
|
| gptkbp:originatedIn |
gptkb:Joseph_Fourier
|
| gptkbp:relatedTo |
harmonic analysis
mathematical analysis trigonometric series orthogonal functions |
| gptkbp:studies |
representation of functions as sums of sines and cosines
|
| gptkbp:usedIn |
gptkb:probability_theory
gptkb:signal_processing engineering partial differential equations physics |
| gptkbp:bfsParent |
gptkb:Loukas_Grafakos
|
| gptkbp:bfsLayer |
6
|