Minimality and Closeure of Random Exponential Systems

Abstract

In this paper, we study the minimality properties of random exponential systems in , where is a weighted Banach space of complex continuous functions of on with vanishing at infinity, in the uniform norm with respect to the weight . We prove that, if is incomplete in , then is minimal and each function in can be extended to an entire function respresented by a Dirichlet series.

Quantization of Mesoscopic Quartz Piezoelectric Crystal Equivalent Circuit

“…Similar calculation processes of the wave function and energy lever can be found in our paper [8], calculated to second order approximate, the separate periodic wave function are…”