A new necessary and sufficient condition for real entire functions, represented by Fourier transforms, to have only real zeros is proved. An application of this result to the Riemann ξ-function is ...
The classical Bochner-Schoenberg-Eberlein theorem characterizes the continuous functions on the dual group of a locally compact abelian group G which arise as Fourier-Stieltjes transforms of elements ...
THIS book is based upon a course of lectures given by the author at Cambridge during the Lent term of 1932. The introduction contains a condensed but useful account of Lebesgue integration, leading to ...
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