Convergence Rates in the Ergodic Theorem for Unitary Actions of Compactly Generated Abelian Groups
摘要
For the convergence rates in the ergodic theoremfor unitary actions of locally compact compactly generated abelian groups,we obtain a spectral criterionin terms of the singularity of the spectral measurein a neighborhood of the unit character.It is thus shown thatestimates for these rates,as for the classical ergodic theoremsfor actions of the groups