Integrability along a Line for a Class of Entire Functions
نویسنده
چکیده
provided that {X„} is an increasing sequence of real numbers such that |X„ — n\ 0. This is the L2-analogue of the theorem, proved in different ways by Duffin and Schaeffer [6] and by B. Levin [8], that f(x) is bounded if {/(X„)} is bounded ; the cases of the two theorems when \n = n are due respectively to Plancherel and Pólya [il] and Cartwright [3]. The object of this paper is to replace (1.1), (1.2) respectively by
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تاریخ انتشار 2010