Statements (45)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical concept
|
| gptkbp:appliesTo |
commutative_Banach_algebras
|
| gptkbp:enables |
the study of representations of groups
|
| https://www.w3.org/2000/01/rdf-schema#label |
Gelfand representation
|
| gptkbp:isAssociatedWith |
Hilbert_spaces
|
| gptkbp:isAvenueFor |
signal processing
control theory quantum_mechanics |
| gptkbp:isCharacterizedBy |
maximal ideals
|
| gptkbp:isConnectedTo |
algebraic topology
topological spaces |
| gptkbp:isExploredIn |
mathematical literature
numerical analysis operator theory |
| gptkbp:isImportantFor |
theoretical physics
|
| gptkbp:isInvolvedIn |
complex analysis
|
| gptkbp:isLinkedTo |
measure theory
|
| gptkbp:isLocatedIn |
mathematical physics
dual spaces |
| gptkbp:isPartOf |
mathematical analysis
functional analysis curriculum theory of C*-algebras |
| gptkbp:isRelatedTo |
Fourier transforms
theory of stochastic processes functional calculus operator algebras theory of measures Gelfand-Naimark_theorem |
| gptkbp:isStudiedIn |
abstract algebra
|
| gptkbp:isUsedBy |
analyze linear operators
|
| gptkbp:isUsedFor |
image processing
solving differential equations |
| gptkbp:isUsedIn |
statistical mechanics
spectral theory |
| gptkbp:isUtilizedFor |
the theory of distributions
|
| gptkbp:isUtilizedIn |
data analysis
noncommutative geometry |
| gptkbp:keyIssues |
the study of dynamical systems
the study of fractals the study of harmonic analysis the study of Lie groups |
| gptkbp:namedAfter |
gptkb:I._M._Gelfand
|
| gptkbp:provides |
isomorphism between algebras and spaces of functions
|
| gptkbp:relatedTo |
representation theory
functional analysis |