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


Abstract in English

We obtain sequence space representations for a class of Frechet spaces of entire functions with rapid decay on horizontal strips. In particular, we show that the projective Gelfand-Shilov spaces $Sigma^1_ u$ and $Sigma^ u_1$ are isomorphic to $Lambda_{infty}(n^{1/( u+1)})$ for $ u > 0$.

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