Torus homeomorphisms, Fourier coefficients, and integral smoothness
type: Item
instance of: scholarly article
title: Torus homeomorphisms, Fourier coefficients, and integral smoothness
zbMATH Open document ID: 0815.42006
published in: Russian Mathematics
publication date: 1994-10-05T00:00:00Z
review text: The decrease rate of Fourier coefficients of the composition \(f\circ h\), where \(f\in C(T^ n)\) and \(h\) is a homeomorphism of the torus \(T^ n\) is investigated. An estimate of the integral smoothness, which can be attained by means of a torus homeomorphism, is given. The results are consequences of a general theorem on reducibility of compacts in the space of continuous functions into certain functional classes by means of synchronous change of variables.
reviewed by: B. P. Osilenker
Mathematics Subject Classification ID: 42B05
zbMATH DE Number: 640205
zbMATH Keywords: Fourier coefficients
zbMATH Keywords: integral smoothness
zbMATH Keywords: torus homeomorphism
author: Vladimir Lebedev
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 640205