Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
|
| gptkbp:appliesTo |
gptkb:signal_processing
partial differential equations quantum mechanics |
| gptkbp:concerns |
gptkb:inner_product_spaces
infinite-dimensional vector spaces |
| gptkbp:field |
functional analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hilbert space theory
|
| gptkbp:includes |
gptkb:spectral_theorem
gptkb:Riesz_representation_theorem gptkb:L2_spaces Fourier analysis bounded linear operators compact operators projection theorem self-adjoint operators unitary operators orthonormal bases |
| gptkbp:namedAfter |
gptkb:David_Hilbert
|
| gptkbp:relatedTo |
operator theory
spectral theory Banach space theory |
| gptkbp:studies |
gptkb:Hilbert_spaces
|
| gptkbp:usedIn |
gptkb:machine_learning
gptkb:probability_theory mathematical physics |
| gptkbp:bfsParent |
gptkb:Gram_matrix
gptkb:Wightman_axioms |
| gptkbp:bfsLayer |
6
|