Change of variables in a multiple integral for local fields
type: Item
instance of: scholarly article
title: Change of variables in a multiple integral for local fields
zbMATH Open document ID: 0764.12004
DOI: 10.1007/BF01535581
author: Johannes Schoissengeier
published in: Monatshefte für Mathematik
publication date: 1993-05-12T00:00:00Z
full work available at URL: https://eudml.org/doc/178583
review text: A proof of the formula \(\int_ U f\circ\varphi\;|\text{det }D_ \varphi|\;d\mu=\int_{\varphi(U)}f\;d\mu\) for locally compact fields \(\mathbb{K}\) and \(C^ 1\)-isomorphisms \(\varphi: U\to V\), where \(U\) and \(V\) are open subsets of \(\mathbb{K}^ n\), was never published. In this paper we give two short proofs, one of them is a more elementary variant of the other.
Mathematics Subject Classification ID: 12J25
Mathematics Subject Classification ID: 30G06
zbMATH DE Number: 164920
zbMATH Keywords: multiple integral
zbMATH Keywords: locally compact fields
MaRDI profile type: Publication
cites work: Q5605672
cites work: Teoremi di completezza sulla frontiera di un dominio per taluni sistemi di funzioni
cites work: Q3213906
cites work: The Formula for Change in Variables in a Multiple Integral
cites work: Q4090435
description: scientific article; zbMATH DE number 164920