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 language | English (US) |
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Pages (from-to) | 47-66 |
Number of pages | 20 |
Journal | Algebras and Representation Theory |
Volume | 9 |
Issue number | 1 |
DOIs | |
State | Published - Feb 2006 |
Keywords
- Distributions
- Haar measure
- Trace series
ASJC Scopus subject areas
- General Mathematics