An approach to harmonic analysis on non-locally compact groups II: an\n invariant measure on groups of ordered type

2019/02/07 by Raven Waller, Waller, Raven
Computer Science · Mathematics · #20G25 (Secondary) #43A05 (Primary) #Advanced Algebra and Geometry #Advanced Mathematical Modeling in Engineering #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Nonlinear Dynamics and Pattern Formation #Number Theory (math.NT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1902.02913

openalex publication_date 2019/02/07 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28

Abstract

We consider a class of non-locally compact groups on which one may define a\nleft-invariant, finitely additive measure taking values in some finitely\ngenerated extension of the field \ℝ of real numbers. In particular,\nwe recover previously studied special cases, along with the case of reductive\nalgebraic groups defined over higher dimensional local fields.\n

Citations

• An approach to harmonic analysis on non-locally compact groups I: level structures over locally compact groups

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