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

Andreas Debrouwere

备注：: 19pages; updated version

英文摘要：

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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