In the mathematical field of complex analysis, Akhiezer`s theorem is a result about entire functions proved by Naum Akhiezer. ==Statement== Let {math|f(z)} be an entire function of exponential type {math|τ}, with {math|f(x) ≥ 0} for real {math|x}. Then the following are equivalent: where {math|zn} are the zeros of {math|f}. ==Remarks== It is n....

Found on http://en.wikipedia.org/wiki/Akhiezer`s_theorem

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