Talks given at NuHAG events

Fractal sets and their relation with wavelet sets

  Ataollah Askari Hemmat
    Dept. of Math. Vali Asr University, Rafsanjan, Kerman

  given at  strobl07 (21.06.07 15:45)
  id:  631
  length:  25min
  status:  accepted
  type:  talk
Sets with non-integeral
Hausdorff dimension are called fractals by Mandelbrot, when they
have the additional property of being in some sense either
strictly or statistically self similar, have been used to model
various physical phenomena. In this article we will review the theory
of wavelet sets and
fractls. In dimension 2 we will prove that under certain conditions
the product of two sets is a wavelet set. This is completely new
and we will present few new examples. We will explain fractal sets and show
how some fractal sets can be obtained from wavelet sets.

Keywords: Fractals, Multiresolution Analysis, Wavelets, Wavelet Sets, Digits.

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