Statements (78)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:psychological_operations
|
| gptkbp:applies_to |
harmonic functions
|
| gptkbp:has_applications_in |
signal processing
probability theory complex analysis image analysis |
| gptkbp:has_property |
linear
bounded |
| https://www.w3.org/2000/01/rdf-schema#label |
Riesz transform
|
| gptkbp:is_a |
generalization of curl
generalization of divergence generalization of gradient |
| gptkbp:is_applied_in |
gptkb:Quantum_Mechanics
mathematical physics fluid dynamics electromagnetism |
| gptkbp:is_connected_to |
Hilbert transform
|
| gptkbp:is_defined_by |
Euclidean space
Riesz representation theorem Cauchy integral formula generalized functions convolution with kernel |
| gptkbp:is_related_to |
gptkb:analysis
gptkb:Graphics_Processing_Unit finite element methods time-frequency analysis data compression functional analysis numerical analysis video analysis Cauchy-Riemann equations analytic functions image segmentation shape analysis finite difference methods feature detection Laplace's equation object recognition nonlinear analysis harmonic analysis Poisson's equation Green's functions complex variables operator theory spectral theory wavelet transforms image enhancement Laplacian operator Sobolev spaces wave equations optical flow motion estimation spectral methods distribution theory texture analysis 3 D reconstruction boundary integral equations edge detection harmonic conjugates heat equations signal decomposition |
| gptkbp:is_used_in |
gptkb:machine_learning
gptkb:statistical_mechanics data analysis computer vision chaos theory dynamical systems pattern recognition feature extraction image reconstruction wavelet theory |
| gptkbp:is_used_to |
analyze singularities
solve partial differential equations study boundary value problems |
| gptkbp:related_to |
Fourier transform
|
| gptkbp:used_in |
potential theory
|
| gptkbp:bfsParent |
gptkb:Marcel_Riesz
|
| gptkbp:bfsLayer |
5
|