Nonlinear self-similar measures and their fourier transforms

Indiana University Mathematics Journal

Volumn 45, Issue 1, 1996, Pages 205-220

  Glickenstein, David ^a   Strichartz, Robert S ^a  

^a Cornell University ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039607991     PISSN: 00222518     EISSN: None     Source Type: Journal    
DOI: 10.1512/iumj.1996.45.1156     Document Type: Article

References (9)

1. M. BARNSLEY, Fractals Everywhere, Academic Press, Boston, 1988.
2. K. J. FALCONER, Fractal Geometry Mathematical Foundations and Applications, John Wiley & Sons, New York, 1990.
3. J. E. HUTCHINSON, Fractals and self-similarity, Indiana U. Math. J. 30 (1981), 713-747.
4. P. JANARDHAN, D. ROSENBLUM AND R. S. STRICHARTZ, Numerical experiments in Fourier asymptotics of Cantor measures and wavelets, Experimental Math. 1 (1992), 249-273.
5. R. S. STRICHARTZ. Self-similar measures and their Fourier transforms I, Indiana University Math. J. 39 (1990), 797-817.
6. _, Self-similar measures and their Fourier transforms II, Trans. Amer. Math. Soc. 336 (1993), 335-361.
7. _, Self-similar measures and their Fourier transforms III, Indiana U. Math. J. 42 (1993), 367-411.
8. _, Self-similarity in harmonic analysis, J. Fourier Anal. Appl. 1 (1994), 1-37.
9. R. S. STRICHARTZ, A. TAYLOR AND T. ZHANG, Densities of self-similar measures on the line, Experimental Math. 4 (1995), 101-128.