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Self-Affine Scaling Sets in R2 - Memoirs of the American Mathematical Society (Paperback)
  • Self-Affine Scaling Sets in R2 - Memoirs of the American Mathematical Society (Paperback)
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Self-Affine Scaling Sets in R2 - Memoirs of the American Mathematical Society (Paperback)

(author), (author)
£67.95
Paperback 85 Pages / Published: 30/01/2015
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There exist results on the connection between the theory of wavelets and the theory of integral self-affine tiles and in particular, on the construction of wavelet bases using integral self-affine tiles. However, there are many non-integral self-affine tiles which can also yield wavelet basis. In this work, the author gives a complete characterization of all one and two dimensional A -dilation scaling sets K such that K is a self-affine tile satisfying BK=(K d1)â (K d2) for some d1,d2â R2 , where A is a 2x2 integral expansive matrix with â £detAâ £=2 and B=At

Publisher: American Mathematical Society
ISBN: 9781470410919
Number of pages: 85
Dimensions: 254 x 178 mm

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