Abstract
For a finite positive Borel measure μ on R its exponential type, Tμ, is defined as the infimum of a>0 such that finite linear combinations of complex exponentials with frequencies between 0 and a are dense in L2(μ). The definition can be easily extended from finite to broader classes of measures. In this paper we prove a new formula for Tμ and use it to study growth and additivity properties of measures with finite positive type. As one of the applications, we show that Frostman measures on R may only have type zero or infinity.
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