ON THE UNIQUENESS OF NON-LOCALLY FINITE INVARIANT-MEASURES ON A TOPOLOGICAL GROUP

[摘要] An example proves that the Uniqueness theorem for non-locally finite invariant measures on a topological group does not hold, In this paper a uniqueness theorem for locally sigma-finite invariant measures is given and it is proved that two invariant measures with the same sets of finite measure on a non-compact group are mutually absolutely continuous. This result is improved in the case of Hausdorff measures. (C) 1994 Academic Press, Inc.

[发布日期] 1994-12-01