A modified \(P\)-adic integral and a modified \(P\)-adic derivative for functions defined on a half-axis
type: Item
instance of: scholarly article
title: A modified \(P\)-adic integral and a modified \(P\)-adic derivative for functions defined on a half-axis
zbMATH Open document ID: 1126.26022
published in: Russian Mathematics
publication date: 2007-05-22T00:00:00Z
review text: The author introduces a generalized Fourier-Walsh transform replacing dyadic decomposition by \(P\)-adic decomposition, where \(P\) is a fixed symmetric subset of \(\mathbb{Z}\). Generalizing the known results for Fourier-Walsh transform he proves several theorems on properties of \(P\)-adic integrals and derivatives and establishes a Hardy type inequality for \(P\)-adic Fourier-Walsh transform.
Mathematics Subject Classification ID: 26E99
Mathematics Subject Classification ID: 42C10
Mathematics Subject Classification ID: 26D15
zbMATH DE Number: 5155798
zbMATH Keywords: \(P\)-adic Fourier-Walsh transform
zbMATH Keywords: \(P\)-adic integral
zbMATH Keywords: \(P\)-adic derivative
zbMATH Keywords: Hardy inequality
author: S. S. Volosivets
reviewed by: Yuri A. Brudnyi
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5155798