NDLI: A Note on Characteristic Functions Which Vanish Identically in an Interval

Content Provider	Scilit
Author	Smith, Walter L.
Copyright Year	1962
Description	Some years ago, in connexion with some unpublished work in the theory of queues, the question arose as to whether the characteristic function of a non-negative random variable could vanish identically in an interval. The purpose of this note is to show that such a thing is impossible.
Related Links	https://repository.lib.ncsu.edu/bitstream/1840.4/2208/1/ISMS_1961_306.pdf https://www.cambridge.org/core/services/aop-cambridge-core/content/view/12393C34A4DC54E977940DB6DD29A34F/S0305004100036677a.pdf/div-class-title-a-note-on-characteristic-functions-which-vanish-identically-in-an-interval-div.pdf
Ending Page	432
Page Count	3
Starting Page	430
ISSN	03050041
e-ISSN	14698064
DOI	10.1017/s0305004100036677
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Issue Number	2
Volume Number	58
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	1962-04-01
Access Restriction	Open
Subject Keyword	Mathematical Proceedings of the Cambridge Philosophical Society Characteristic Functions
Content Type	Text
Subject	Mathematics

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A Note on Characteristic Functions Which Vanish Identically in an Interval