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VOL. 45 | 2004 Zeroes of infinitely differentiable characteristic functions

Abstract

We characterize the sets where an n-dimensional, infinitely differentiable characteristic function can have its real part zero, positive, and negative, and where it can have its imaginary part zero, positive, and negative.

Information

Published: 1 January 2004
First available in Project Euclid: 28 November 2007

zbMATH: 1268.60019
MathSciNet: MR2126895

Digital Object Identifier: 10.1214/lnms/1196285388

Subjects:
Primary: 60E10

Keywords: characteristic functions , zeroes