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

Authors

  • R.V. Khats’ Ivan Franko State Pedagogical University, 24 Franka str., 82100, Drohobych, Ukraine
https://doi.org/10.15330/cmp.5.2.341-344

Keywords:

entire function of improved regular growth, finite system of rays, Fourier coefficients, Hausdorff-Young theorem
Published online: 2013-12-30

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 $L^p[0, 2\pi]$.

Article metrics
How to Cite
(1)
Khats’, R. Asymptotic Behavior of Entire Functions of Improved Regular Growth in the Metric of $L^p[0, 2\pi]$. Carpathian Math. Publ. 2013, 5, 341-344.