Self-similar measures: Asymptotic bounds for the dimension and Fourier decay of smooth images
Kaufman and Tsujii proved that the Fourier transform of self-similar measures has a power decay outside of a sparse set of frequencies. We present a version of this result for homogeneous self-similar measures, with quantitative estimates, and derive several applications: (1) non-linear smooth image...
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| Autores principales: | Mosquera, C.A., Shmerkin, P.S. |
|---|---|
| Formato: | JOUR |
| Materias: | |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_1239629X_v43_n_p823_Mosquera |
| Aporte de: |
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