Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Zero sets of functions from non-quasi-analytic classes

Author: Robert B. Hughes
Journal: Proc. Amer. Math. Soc. 27 (1971), 539-542
MSC: Primary 26.80
Erratum: Proc. Amer. Math. Soc. 39 (1973), 651.
MathSciNet review: 0272965
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: It is well known that any closed subset of the line is the zero set of a $ {C^\infty }$-function. One can also specify the orders of the zeros at the isolated points. The present paper improves this result by replacing the class of $ {C^\infty }$-functions by any non-quasi-analytic class of $ {C^\infty }$-functions.

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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 26.80

Retrieve articles in all journals with MSC: 26.80

Additional Information

PII: S 0002-9939(1971)0272965-4
Keywords: Infinitely differentiable functions, quasi-analytic, singular functions, zero set
Article copyright: © Copyright 1971 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia