On Completeness and Minimality of Random Exponential System in a Weighted Banach Space of Functions Continuous on the Real Line*

Abstract

In this paper, the completeness and minimality properties of some random exponential system in a weighted Banach space of complex functions continuous on the real line for convex nonnegative weight are studied. The results may be viewed as a probabilistic version of Malliavin's classical results.

Keywords

Complete / Minimal / Closure / Random exponential polynomials / 0E05 / 41A30 / 42A61 / 42C30

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