Approximation properties of exponential systems on the real line and the half-lineстатья
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:For arbitrary a > 0 and alpha > 1 a class of entire functions depending on a complex parameter mu is constructed. The values of mu such that the sequence of zeros lambda(n) of a function in this class generates a complete and minimal exponential system exp (-i lambda(n)t - a/t/(alpha)) in L-P(R) (L-P(R+)), p greater than or equal to 2, are described. Examples of such systems were previously known only for alpha = 2.