✦ LIBER ✦

Local Regularity of Nonsmooth Wavelet Expansions and Application to the Polya Function

✍ Scribed by Stéphane Jaffard; Benoit B. Mandelbrot

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 539 KB
Volume: 120
Category: Article
ISSN: 0001-8708
DOI: 10.1006/aima.1996.0039

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✦ Synopsis

We give criteria of pointwise regularity for expansions on Haar or Schauder basis (or spline-type wavelets) corresponding to large Ho lder exponents. As an application, we determine the exact Ho lder regularity of the Polya function at every point and show that it is multifractal.

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