Transactions of the American Mathematical Society, Vol. 163 (Jan., 1972), pp. 401-436 (36 pages) In this paper our primary interest is in developing further insight into convergence properties of ...

Fourier series have long served as a cornerstone for representing periodic functions through harmonic components. In higher dimensions, these tools become indispensable for analysing complex systems, ...

Proceedings of the American Mathematical Society, Vol. 126, No. 4 (Apr., 1998), pp. 1181-1189 (9 pages) The aim of this paper is to investigate the properties of the maximum of partial sums for a ...

I was having dinner with a visiting colleague this week when talk turned to what we were teaching this term. He mentioned the part of calculus dealing with infinite series (the bane of many students) ...