Hokkaido Mathematical Journal

Quasi-invariance of measures of analytic type on locally compact abelian groups

Hiroshi YAMAGUCHI

Full-text: Open access

Abstract

Asmar, Montgomery-Smith and Saeki gave a generalization of a theorem of Bochner for a locally compact abelian group with certain direction. We show that a strong version of their result holds for a σ-compact, connected locally compact abelian group with certain direction. We also give several conditions for quasi-invariance of analytic measures and another proof of a theorem of deLeeuw and Glicksberg.

Article information

Source
Hokkaido Math. J., Volume 43, Number 1 (2014), 51-64.

Dates
First available in Project Euclid: 20 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.hokmj/1392906093

Digital Object Identifier
doi:10.14492/hokmj/1392906093

Mathematical Reviews number (MathSciNet)
MR3178479

Zentralblatt MATH identifier
1290.43003

Subjects
Primary: 43A05: Measures on groups and semigroups, etc. 43A10: Measure algebras on groups, semigroups, etc. 43A25: Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups

Keywords
LCA group measure Fourier transform quasi-invariant

Citation

YAMAGUCHI, Hiroshi. Quasi-invariance of measures of analytic type on locally compact abelian groups. Hokkaido Math. J. 43 (2014), no. 1, 51--64. doi:10.14492/hokmj/1392906093. https://projecteuclid.org/euclid.hokmj/1392906093


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