论文标题
具有完全积极发电机的换档空间中的签名检索
Sign retrieval in shift-invariant spaces with totally positive generator
论文作者
论文摘要
我们表明，由高斯类型的完全积极函数产生的移位不变空间中的真实功能$ f $是由其绝对值$ \ {| f（λ）|：λ\inλ\ \} $在任何set $λ\ sebseteq \ mathbb { $ d^{ - }（λ）> 2 $。
We show that a real-valued function $f$ in the shift-invariant space generated by a totally positive function of Gaussian type is uniquely determined, up to a sign, by its absolute values $\{|f(λ)|: λ\in Λ\}$ on any set $Λ\subseteq \mathbb{R}$ with lower Beurling density $D^{-}(Λ)>2$.
