Bøger af Henry Helson

Topics that have continued from the first edition include Minkowski's theorem, measures with bounded powers, idempotent measures, spectral sets of bounded functions and a theorem of Szego, and the Wiener Tauberian theorem.

To be sure there is a big gap between learning the Banach-Steinhaus theorem, for example, and applying it to a real problem. It is a natural objective, because integration theory and functional analysis to a great extent developed in response to the problems of Fourier series!