LOCAL REGULARITY OF NONSMOOTH WAVELET EXPANSIONS AND APPLICATION TO THE POLYA FUNCTION

Authors
JAFFARD S MANDELBROT BB
Citation
S. Jaffard et Bb. Mandelbrot, LOCAL REGULARITY OF NONSMOOTH WAVELET EXPANSIONS AND APPLICATION TO THE POLYA FUNCTION, Advances in mathematics, 120(2), 1996, pp. 265-282
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Advances in mathematics → ACNP
ISSN journal
00018708
Volume
120
Issue
2
Year of publication
1996
Pages
265 - 282
Database
ISI
SICI code
0001-8708(1996)120:2<265:LRONWE>2.0.ZU;2-Z
Abstract
We give criteria of pointwise regularity for expansions on Haar or Sch auder basis (or spline-type wavelets) corresponding to large Holder ex ponents. As an application, we determine the exact Holder regularity o f the Polya Function at every point and show that it is multifractal. (C) 1996 Academic Press, Inc.