Skip to main content
SpringerLink
Log in

On sets of Haar measure zero in abelian polish groups

  • Published:
Israel Journal of Mathematics Aims and scope Submit manuscript

Abstract

It is shown that the concept of zero set for the Haar measure can be generalized to abelian Polish groups which are not necessarily locally compact. It turns out that these groups, in many respects, behave like locally compact groups. Suitably modified, many theorems from harmonic analysis carry over to this case. A few applications are given and some open problems are mentioned.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Reference

  1. J. P. R. Christensen,Borel structures in groups and semigroups, Math. Scand.28 (1971), 124–128.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Copenhagen, Copenhagen, Denmark

    Jens Peter Reus Christensen

Authors
  1. Jens Peter Reus Christensen
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Christensen, J.P.R. On sets of Haar measure zero in abelian polish groups. Israel J. Math. 13, 255–260 (1972). https://doi.org/10.1007/BF02762799

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02762799

Keywords

Search

Navigation