Subharmonic function of infinite order in the half-plane

Year 2013, Volume: 4 , 9 - 14, 19.03.2014

İrina Kozlova

Abstract

Let a proper subharmonic function of infinite order has the full measure at the finite system of rays in the upper half-plane. Then its lower order also equals infinity.

Keywords

Proper subharmonic function, infinite order, lower order, Fourier coefficients, fullmeasure.

References

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• Levin, B.Ya., Distribution of Zeros of Entire Functions, English revised edition Amer. Math. Soc, Providence, RI, 523pp. MR 81k:30011.