Asymptotic behavior of entire functions of improved regular growth in the metric of $L^p[0, 2\pi]$

R. V. Khats’

Abstract


We describe an asymptotic behavior of entire functions of improved regular growth with zeros on a finite system of rays in the metric of $L^p[0, 2\pi]$.

Keywords


entire function of improved regular growth, finite system of rays, Fourier coefficients, Hausdorff-Young theorem

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