On the existence of trace for elements of ℂp

Nicolae Popescu, Marian Vâjâitu, Alexandru Zaharescu

Research output: Contribution to journalArticlepeer-review

Abstract

Let T be a transcendental element of ℂp and O(T) = {σ(T) : σ ∈ Galcont(ℂp/ ℚp)} the orbit of T. On O(T)we have a Haar measure πT. The goal of this paper is to characterize all the elements of ℂp for which the integral Tr(T) := ∫O(T) zdπt(z), called the trace of T, is well defined.

Original languageEnglish (US)
Pages (from-to)47-66
Number of pages20
JournalAlgebras and Representation Theory
Volume9
Issue number1
DOIs
StatePublished - Feb 2006

Keywords

  • Distributions
  • Haar measure
  • Trace series

ASJC Scopus subject areas

  • Mathematics(all)

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