Zeros of the Zak Transform of averaged totally positive functions

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Abstract

Let α>0 and let g∈L1(R) be a continuous function, whose Fourier transform is ĝ(ω)=Ce−γω2e−2πiδω∏ν=1∞ [Formula presented] where C>0 γ⩾0 δ,δν,λj∈R ∑ν=1∞δν2

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Vinogradov, O. L., & Ulitskaya, A. Y. (2017). Zeros of the Zak Transform of averaged totally positive functions. Journal of Approximation Theory, 222, 55–63. https://doi.org/10.1016/j.jat.2017.06.001

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