Tong Zhang, G.H. Golub, et al.
Linear Algebra and Its Applications
This paper deals with the descriptive set theoretic properties of the class EC of continuous functions with everywhere convergent Fourier series. It is shown that this set is a complete coanalytic set in C(T). A natural coanalytic rank function on EC is studied that assigns to each f EC a countable ordinal number, which measures the “complexity” of the convergence of the Fourier series of f. It is shown that there exist functions in EC (in fact even differentiable ones) which have arbitrarily large countable rank, so that this provides a proper hierarchy on EC with wi distinct levels. © 1987 American Mathematical Society.
Tong Zhang, G.H. Golub, et al.
Linear Algebra and Its Applications
J. LaRue, C. Ting
Proceedings of SPIE 1989
Paul J. Steinhardt, P. Chaudhari
Journal of Computational Physics
Shashanka Ubaru, Lior Horesh, et al.
Journal of Biomedical Informatics