p-adic measures with given Laurent moments
type: Item
instance of: scholarly article
title: p-adic measures with given Laurent moments
zbMATH Open document ID: 0618.12014
DOI: 10.1007/BF01056657
author: V. N. Kalyuzhnyj
published in: Ukrainian Mathematical Journal
publication date: 1986-01-01T00:00:00Z
review text: Let f be a continuous function on \({\mathbb{Z}}_ p\). A necessary and sufficient condition for the existence of a measure \(\mu\) on \(1+p {\mathbb{Z}}_ p\) such that \(f(z)=\int \lambda^{-z} d\mu (\lambda)\) is given: from f a formal power series can be constructed whose coefficients have to be bounded. Such a result was already known. Proofs are elementary and complete.
reviewed by: Gilles Christol
Mathematics Subject Classification ID: 11S80
zbMATH DE Number: 4002225
zbMATH Keywords: p-adic measures
zbMATH Keywords: continuous function on \({bbfZ}_ p\)
zbMATH Keywords: formal power series
MaRDI profile type: Publication
cites work: The p-Adic Gamma Measures
cites work: Q4138813
cites work: Q3880931
full work available at URL: https://doi.org/10.1007/bf01056657
OpenAlex ID: W2058534435
description: scientific article; zbMATH DE number 4002225