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
Abstract: It is well known that any closed subset of the line is the zero set of a -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 -functions by any non-quasi-analytic class of -functions.
Retrieve articles in Proceedings of the American Mathematical Society with MSC: 26.80
Retrieve articles in all journals with MSC: 26.80
Keywords: Infinitely differentiable functions, quasi-analytic, singular functions, zero set
Article copyright: © Copyright 1971 American Mathematical Society