Gevrey class

id: gevrey-class-198-9275474
title: Gevrey class
text: In mathematics, the Gevrey classes on a domain Ω ⊆ R n , introduced by Maurice Gevrey, are spaces of functions 'between' the space of analytic functions C ω and the space of smooth functions C ∞ . In particular, for σ ≥ 1 , the Gevrey class G σ , consists of those smooth functions g ∈ C ∞ such that for every compact subset K ⋐ Ω there exists a constant C , depending only on g , K , such that Where D α denotes the partial derivative of order α . When σ = 1 , G σ coincides with the class of analyt
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original url: https://en.wikipedia.org/wiki/Gevrey_class
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date modified: 2022-12-31T17:42:24Z
main entity: {"identifier":"Q5554938","url":"https://www.wikidata.org/entity/Q5554938"}
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