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arXiv · 1902.02913

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

Raven Waller
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Abstract

We consider a class of non-locally compact groups on which one may define a left-invariant, finitely additive measure taking values in some finitely generated extension of the field $\mathbb{R}$ of real numbers. In particular, we recover previously studied special cases, along with the case of reductive algebraic groups defined over higher dimensional local fields.

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Raven Waller. 2019-02-08. An approach to harmonic analysis on non-locally compact groups II: an invariant measure on groups of ordered type. https://arxiv.org/abs/1902.02913

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