SCIENTIFIC PROGRAMS AND ACTIVITIES
|January 20, 2017|
Approximation properties for groups and C*-algebras.
It is classical result in Fourier analysis, that the Fourier series
of a continuous function may fail to converge uniformly or even
pointwise to the given function. However if one use a summation
method as e.g. convergence in Cesaro mean, one actually gets uniform
convergence of the Fourier series. This result can easily be generalized
first to all abelian LC (= locally compact) groups, and next to
all amenable (LC) groups, where in the non-abelian case, the continuous
functions on dual group G^ should be replaced by the reduced group
C*-algebra of G.