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The expansion of functions under transformation and its application to optimization

✍ Scribed by Yun-kang Sui


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
711 KB
Volume
113
Category
Article
ISSN
0045-7825

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Local Regularity of Nonsmooth Wavelet Ex
✍ StΓ©phane Jaffard; Benoit B. Mandelbrot πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 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.