Denjoy–Carleman classes

GPTKB entity

Statements (16)
Predicate Object
gptkbp:instanceOf function class
gptkbp:characterizedBy growth conditions on derivatives
gptkbp:definedIn sequence of positive numbers (M_n)
gptkbp:describes smooth functions
gptkbp:field mathematical analysis
gptkbp:generalizes analytic functions
https://www.w3.org/2000/01/rdf-schema#label Denjoy–Carleman classes
gptkbp:introducedIn 1920s
gptkbp:namedAfter gptkb:Arnaud_Denjoy
gptkb:Torsten_Carleman
gptkbp:relatedTo gptkb:quasianalytic_functions
ultradifferentiable functions
gptkbp:usedIn partial differential equations
real analysis
gptkbp:bfsParent gptkb:Denjoy–Carleman_theorem
gptkbp:bfsLayer 8