Abstract
Returning to a classical question in harmonic analysis, we strengthen an old result of Walter Rudin. We show that there exists a weakly almost periodic function on the group of integers Z which is not in the norm-closure of the algebra B(Z) of Fourier-Stieltjes transforms of measures on the dual group Ž T, and which is recurrent. We also show that there is a Polish monothetic group which is reflexively but not Hilbert representable.
Original language | English |
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Pages (from-to) | 629-642 |
Number of pages | 14 |
Journal | Ergodic Theory and Dynamical Systems |
Volume | 32 |
Issue number | 2 |
DOIs | |
State | Published - Apr 2012 |