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
Rights: Copyright © 2004, Institute of Mathematical Statistics