A time domain characterization of the fine local regularity of functions.
type: Item
instance of: scholarly article
title: A time domain characterization of the fine local regularity of functions.
zbMATH Open document ID: 1039.42034
author: Yanyan Li
published in: The Journal of Fourier Analysis and Applications
publication date: 2002-01-01T00:00:00Z
review text: The authors define new functional spaces designed to measure the fine local regularity of functions. In contrast with classical approaches based on, e.g., Littlewood--Paley or wavelet analysis, these spaces are characterized by conditions expressed in the time domain. This is in some cases simpler and more convenient. In particular, since no preprocessing of the data is necessary, it is possible to obtain robust numerical estimation procedures in the case of sampled signals.
reviewed by: Richard A. Zalik
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 60G35
Mathematics Subject Classification ID: 26A16
Mathematics Subject Classification ID: 94A12
Mathematics Subject Classification ID: 35A27
zbMATH DE Number: 1890520
zbMATH Keywords: 2-microlocal spaces
zbMATH Keywords: Hölder exponents
zbMATH Keywords: fractals
zbMATH Keywords: wavelets
zbMATH Keywords: numerical estimation
zbMATH Keywords: regularity of functions
MaRDI profile type: Publication
full work available at URL: s00041-002-0016-3
OpenAlex ID: W1977565872
DOI: 10.1007/S00041-002-0016-3
description: scientific article; zbMATH DE number 1890520