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Nonsmooth spline-wavelet expansions and their properties

✍ Scribed by Yu. K. Dem’yanovich

Book ID
113072834
Publisher
Springer US
Year
2012
Tongue
English
Weight
396 KB
Volume
182
Category
Article
ISSN
1573-8795

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📜 SIMILAR VOLUMES

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