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Local Regularity of L∞∞-Refinable Function Vectors

✍ Scribed by Di-Rong Chen


Publisher
SP Birkhäuser Verlag Boston
Year
2005
Tongue
English
Weight
129 KB
Volume
11
Category
Article
ISSN
1069-5869

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Local Regularity of Nonsmooth Wavelet Ex
✍ Stéphane Jaffard; Benoit B. Mandelbrot 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 539 KB

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.