Local Regularity of Nonsmooth Wavelet Expansions and Application to the Polya Function |
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Authors: | Stphane Jaffard Benoit B Mandelbrot |
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Institution: | Stéphane Jaffard,Benoit B. Mandelbrot, |
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Abstract: | We give criteria of pointwise regularity for expansions on Haar or Schauder basis (or spline-type wavelets) corresponding to large Hölder exponents. As an application, we determine the exact Hölder regularity of the Polya function at every point and show that it is multifractal. |
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