\(p\)-adic continuously differentiable functions of several variables
type: Item
instance of: scholarly article
title: \(p\)-adic continuously differentiable functions of several variables
zbMATH Open document ID: 0810.26010
author: Stany De Smedt
published in: Collectanea Mathematica
publication date: 1995-02-22T00:00:00Z
full work available at URL: https://eudml.org/doc/39718
review text: Let \(K\) be a non-Archimedean field containing \(\mathbb{Q}_ p\), the field of the \(p\)-adic numbers and let \(\mathbb{Z}_ p\) denote the ring of \(p\)-adic integers. In this paper, we construct the Mahler and van der Put base for \(C^ n(\mathbb{Z}_ p\times \mathbb{Z}_ p\to K)\), the space of \(n\)-times continuously differentiable functions from \(\mathbb{Z}_ p\times \mathbb{Z}_ p\) to \(K\).
Mathematics Subject Classification ID: 26E30
zbMATH DE Number: 724153
zbMATH Keywords: \(C^ n\)-functions
zbMATH Keywords: orthonormal bases
zbMATH Keywords: \(p\)-adic analysis
zbMATH Keywords: non-Archimedean field
zbMATH Keywords: van der Put base
zbMATH Keywords: Mahler base
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 724153