Proceedings of the American Mathematical Society, Vol. 109, No. 2 (Jun., 1990), pp. 357-367 (11 pages) We characterize the classes CM(I) and C* M(I) of infinitely differentiable functions which are ...
Various classes of analytic, quasi-analytic and other infinitely differentiable functions of a real variable are studied. The paper gives a self-contained treatment by means of an elementary real ...
Real and complex functions form the backbone of modern mathematical analysis, uniting the study of continuity, differentiability, and integrability on the real line with the rich structure of analytic ...