Sampling theory for functions with fractal spectrum

Experimental Mathematics

Volumn 10, Issue 4, 2001, Pages 619-638

  Huang, Nina N ^a   Strichartz, Robert S ^b  

^a Department of Community Preventive Medicine ^*  (United States)

^b Cornell University ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039299817     PISSN: 10586458     EISSN: 1944950X     Source Type: Journal    
DOI: 10.1080/10586458.2001.10504681     Document Type: Article

References (12)

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3. A. Gulisashvili, “On the e-dimension and e-entropy of classes of functions with fractal spectral sets”. In preparation.
4. P. Janardhan, D. Rosenblum, and R. Strichartz, “Numerical experiments in Fourier asymptotics of Cantor measures and wavelets”, Experimental Math. 1 (1992), 249-273.
5. 2- spaces”, J. Analyse Math. 75 (1998), 185-228.
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7. R. Strichartz, “Self-similar measures and their Fourier transforms, I”, Indiana Univ. Math. J. 39 (1990), 797-817.
8. E. Strichartz, “Self-similar measures and their Fourier transforms, II”, Trans. Amer. Math. Soc. 336 (1993), 335-361.
9. R. Strichartz, “Self-similar measures and their Fourier transforms, III”, Indiana Univ. Math. J. 42 (1993), 367-411.
10. 2-spaces’, by P. E. T. Jorgensen and S. Pedersen”, J. d’Analyse Math. 75 (1998), 229-231.
11. R. Strichartz, “Mock Fourier series and transforms associated with certain Cantor measures”, J. d’Analyse Math. 81 (2000), 209-238.
12. R. Strichartz, “The shape of the error in wavelet approximation and piecewise linear interpolation”, Math. Res. Lett. 7 (2000), 317-327.