Generalization of a classical theorem of Pólya and Szegő

Mera, Ruben N.

doi:10.1090/S0002-9939-1989-0961414-X

Generalization of a classical theorem of Pólya and Szegő
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by Ruben N. Mera PDF

Proc. Amer. Math. Soc. 105 (1989), 666-669 Request permission

Abstract:

An entire function of exponential type bounded on the real axis is bounded along every horizontal line. A generalization of this theorem to the class of entire functions of finite order is given.

References

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Entire functions of order larger than one

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Problems and theorems in analysis