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In mathematics, the Gevrey class ''G''σ, introduced by , consists of the smooth functions ''g'' on R''n'' such that on every compact subset ''K'' there are constants ''C'' and ''R'' with : for multi-indices α, such that |α| = ''k'', and corresponding differential operators ''D''α (see multi-index notation); and ''x'' restricted to lie in the compact set ''K''. When σ = 1 this class is the same as the class of analytic functions. For σ > 1 there are compactly supported functions in the class that are not identically zero. ==See also== *Denjoy–Carleman theorem 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Gevrey class」の詳細全文を読む スポンサード リンク
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