论文标题

整个功能空间的序列空间表示,并在条上快速衰减

Sequence space representations for spaces of entire functions with rapid decay on strips

论文作者

Debrouwere, Andreas

论文摘要

我们获得了整个功能的一类Fréchet空间的序列空间表示,并在水平条上快速衰减。特别是,我们表明投射的Gelfand-Shilov空间$σ^1_ν$和$σ^ν_1$是同构为$λ_{\ infty}(n^{1/(n^{1/(ν+1)})$ for $ν> 0 $。

We obtain sequence space representations for a class of Fréchet spaces of entire functions with rapid decay on horizontal strips. In particular, we show that the projective Gelfand-Shilov spaces $Σ^1_ν$ and $Σ^ν_1$ are isomorphic to $Λ_{\infty}(n^{1/(ν+1)})$ for $ν> 0$.

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