Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A lifting theorem for formal power series


Author: Edward A. Bender
Journal: Proc. Amer. Math. Soc. 42 (1974), 16-22
MSC: Primary 13J05
DOI: https://doi.org/10.1090/S0002-9939-1974-0323786-8
MathSciNet review: 0323786
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: 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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 13J05

Retrieve articles in all journals with MSC: 13J05


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1974-0323786-8
Article copyright: © Copyright 1974 American Mathematical Society