Entire functions of Bernstein's class that are not Fourier-Stieltjes transformsстатья
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:We consider certain subclasses of the class of entire functions of exponential type bounded on the real axis. We construct functions that belong to these subclasses but are not Fourier-Stieltjes transforms. Particular attention is given to the distribution of zeros of such functions. The results obtained allow us to study the stability of completeness of systems of exponentials in C and L-p under small perturbations of the exponents.