NDLI: A Lifting Theorem for Formal Power Series

Content Provider	Scilit
Author	Bender, Edward A.
Copyright Year	1974
Description	We define a class of operations on formal power series that includes practically all operations of interest. The class is closed under composition. We prove that an operation in this class vanishes for complex numbers if and only if it vanishes for functions analytic at the origin. A variety of applications of this ``lifting theorem'' are discussed.
Related Links	https://www.ams.org/proc/1974-042-01/S0002-9939-1974-0323786-8/S0002-9939-1974-0323786-8.pdf
Ending Page	22
Page Count	7
Starting Page	16
ISSN	00029939
e-ISSN	10886826
DOI	10.2307/2039668
Journal	Proceedings of the American Mathematical Society
Issue Number	1
Volume Number	42
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Logic Lifting Theorem Theorem for Formal Formal Power Series
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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A Lifting Theorem for Formal Power Series