A time domain characterization of the fine local regularity of functions

被引：35

作者：

Kolwankar, KM

Véhel, JL

机构：

[1] INRIA Rocquencourt, F-78153 Le Chesnay, France

[2] Irccyn, F-44321 Nantes, France

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2002年 / 8卷 / 04期

关键词：

c2-microlocal spaces; Holder exponents; fractals; wavelets; numerical estimation;

D O I：

10.1007/s00041-002-0016-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We 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 lime domain. This is in some cases simpler and more convenient. In particular, because no pre-processing of the data is necessary, it is possible to obtain robust numerical estimation procedures in the case of sampled signals.

引用

页码：319 / 334

页数：16