KAZHDAN SETS IN GROUPS AND EQUIDISTRIBUTION PROPERTIES by Catalin Badea & Sophie Grivaux

- (2.2.1) The result in proposition 2.2.2 easily follows from material in section 5, but the proof above is somewhat different from that in section 5 and is especially simple..

- The LCA group G has the property that every density extends to a bounded linear functional on the space of semi- periodic functions (that is, every density is induced by a measure

Rajagopalan for pointing out the following three errors and for indicating that if one assumes that G is o-compact, then the defective half of the proof of Lemma 2.1 is repaired..

— Using again Lemma 6.3 (ii) the result of Salem [7] and Lemma 6.1 (ii) we see that every group of the from R" X K where K is a compact abelian group, has S-measures provided

Rajagopalan for pointing out the following three errors and for indicating that if one assumes that G is o-compact, then the defective half of the proof of Lemma 2.1 is repaired..

Thus, with every local noetherian complete k-algebra A, whose residue field is k-isomorphic to k, one can associate a local noetherian complete k-algebra A min , which

Finally, to prove the theorem we need only construct the desired metric for a locally compact, second countable group G. For

We also reduce the study of local unitary periods in the p-adic case to the case of representations which are subquotients of representations induced from a tensor prod- uct