http://nova.newcastle.edu.au/vital/access/services/Feed ${session.getAttribute("locale")} 5 On twisted Fourier analysis and convergence of Fourier series on discrete groups http://nova.newcastle.edu.au/vital/access/manager/Repository/uon:7693 We study norm convergence and summability of Fourier series in the setting of reduced twisted group C*-algebras of discrete groups. For amenable groups, Følner nets give the key to Fejér summation. We show that Abel-Poisson summation holds for a large class of groups, including e.g. all Coxeter groups and all Gromov hyperbolic groups. As a tool in our presentation, we introduce notions of polynomial and subexponential H-growth for countable groups w.r.t. proper scale functions, usually chosen as length functions. These coincide with the classical notions of growth in the case of amenable groups. 2011-05-10T01:50:16.856Z ]]>