Local regularity of nonsmooth wavelet expansions and application to the Polya function

Advances in Mathematics

Volumn 120, Issue 2, 1996, Pages 265-282

  Jaffard, Stéphane ^a   Mandelbrot, Benoit B ^b  

^a UNIVERSITÉ PARIS EST CRÉTEIL   (France)

^b YALE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030601035     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1006/aima.1996.0039     Document Type: Article

References (10)

1. 1. K. FALCONER, "Fractal geometry, Mathematical foundations and Applications," Wiley, New York, 1990.
2. 2. S. JAFFARD, Pointwise smoothness, two-microlocalisation and wavelet coefficients, Publ. Mat. Barcelona 35 (1991), 155-168.
3. 3. S. JAFFARD, Multifractal formalism for functions. Part I. Results valid for all functions; Part II. Selfsimilar functions, to appear in SIAM of Math. Anal.
4. 4. J. P. KAHANE, "Some Random Series of Functions," Cambridge Univ. Press, Cambridge, 1985.
5. 5. P. LAX, The differentiability of Polya's function, Adv. Math. 10 (1973), 456-464.
6. 6. P. G. LEMARIÉ, Ondelettes à localisation exponentielle, J. Mat. Pures Appl. 67 (1988), 227-236.
7. 7. B. B. BANDELBROT AND S. JAFFARD, Peano-Polya motions, when time is intrinsic or binomial (uniform or multifractal), preprint, 1995.
8. 8. G. POLYA, Uber eine Peanosch kurve, Bull. Acad. Sci. Cracovie Sér. A (1913), 305-313.
9. n as unconditional basis for Hardy spaces in "Conference in Harmonic Analysis in Honor of Anthony Zygmund," Wadsworth, Balmont, CA, 1982.
10. 10. A. ZYGMUND, "Trigonometric Series," Cambridge Univ. Press, Cambridge, 1959.