Gelfand–Shilov spaces

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf function space
gptkbp:characterizedBy smoothness
rapid decay
gptkbp:describes spaces of test functions
gptkbp:field gptkb:mathematics
functional analysis
distribution theory
gptkbp:generalizes gptkb:Schwartz_space
gptkbp:hasProperty topological vector space
nuclear space
closed under Fourier transform
https://www.w3.org/2000/01/rdf-schema#label Gelfand–Shilov spaces
gptkbp:introducedIn 1950s
gptkbp:namedAfter gptkb:Israel_Gelfand
gptkb:Georgiy_Shilov
gptkbp:usedIn theory of partial differential equations
gptkbp:bfsParent gptkb:Israel_Gelfand
gptkbp:bfsLayer 4