Self-Affine Scaling Sets in R2 |
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| Author:
| Fu, Xiaoye
Gabardo, Jean-Pierre |
| Series title: | Memoirs of the American Mathematical Society Ser. |
| ISBN: | 978-1-4704-1091-9 |
| Publication Date: | Jan 2015 |
| Publisher: | American Mathematical Society
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| Book Format: | Paperback |
| List Price: | USD $76.00USD $76.00 |
Book Description:
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There are many non-integral self-affine tiles which can 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)(K d2) for some d1,d2?R2, where A is a 2×2 integral expansive matrix with detA=2 and B=At
There are many non-integral self-affine tiles which can 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)(K d2) for some d1,d2?R2, where A is a 2×2 integral expansive matrix with detA=2 and B=At