Gevrey class

English

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Gevrey class

Wikipedia

Etymology

Introduced by Maurice Gevrey.

Noun

Gevrey class (plural Gevrey classes)

1. (mathematics) The Gevrey classes on a domain ${\displaystyle \Omega \subseteq \mathbb {R} ^{n}}$ are spaces of functions 'between' the space of analytic functions ${\displaystyle C^{\omega }(\Omega )}$ and the space of smooth (infinitely differentiable) functions ${\displaystyle C^{\infty }(\Omega )}$. They are used in control engineering for trajectory planning.