Zeroes of infinitely differentiable characteristic functions
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Institute of Mathematical Statistics Lecture Notes - Monograph Series

Zeroes of infinitely differentiable characteristic functions

Herman Rubin, Thomas M. Sellke

Source: Anirban DasGupta, ed., A Festschrift for Herman Rubin (Beachwood, Ohio, USA: Institute of Mathematical Statistics, 2004), 164-170.

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.

Primary Subjects: 60E10
Keywords: characteristic functions; zeroes

Full-text: Open access

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.lnms/1196285388
Mathematical Reviews (MathSciNet): MR2126895

Digital Object Identifier: doi:10.1214/lnms/1196285388

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2009 © Institute of Mathematical Statistics

Institute of Mathematical Statistics Lecture Notes - Monograph Series

Institute of Mathematical Statistics Lecture Notes - Monograph Series