Bibliographic Details
| Title: |
Sierpinski-type spectral self-similar measures. |
| Authors: |
Deng, Qi-Rong1 qrdeng@fjnu.edu.cn, Lau, Ka-Sing2 kslau@math.cuhk.edu.hk |
| Source: |
Journal of Functional Analysis. Sep2015, Vol. 269 Issue 5, p1310-1326. 17p. |
| Subjects: |
Self-similar processes, Measure theory, Contractions (Topology), Bernoulli numbers, Mathematical convolutions, Mathematical analysis |
| Abstract: |
We consider the Sierpinski-type self-similar measure μ ρ on R 2 with contraction ratio 0 < | ρ | < 1 , we show that μ ρ is a spectral measure if and only if | ρ | = 1 / ( 3 p ) for some integer p > 0 . A similar characterization for Bernoulli convolution is due to Dai [2] , over which ρ = 1 / ( 2 p ) . [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
