|
[1] A. Arneodo, E. Bacry and J. F. Muzy, Singularity spectrum of fractal signals from wavelet analysis: exact results, J. Statist. Phys. 70(3-4) (1993), 635-674.
[2] J. M. Bony, Second microlocalization and propagation of singularities for semi-linear hyperbolic equations, Taniguchi Symp. HERT. Katata, 1984, pp. 11-49.
[3] I. Daubechies and J. C. Lagarias, Two-scale difference equations, 1. Existence and global regularity of solutions, SIAM J. Math. Anal. 22 (1991), 1388-1410.
[4] G. de Rham, Sur une courbe plane, J. Math. Pures Appl. 35 (1956), 25-42.
[5] G. de Rham, Sur un exemple de fonction continue sans dérivée. Enseign. Math. 3 (1957), 71-72.
[6] R. A. Devore and V. A. Popov, Interpolation of Besov Spaces, Trans. Amer. Math. Soc. 305 (1988), 397-414.
[7] H. G. Eggleston, The Fractional dimension of a set defined by dicimal properties, Quart. J. Math. Oxford Ser. 20 (1949), 31-36.
[8] K. J. Falconer, Fractal Geometry, Wiley, New York, 1990.
[9] U. Frisch and G. Parisi, Fully developed turbulence and intermittency, Proc. Int. Summer school Phys. Enrico Fermi, North Holland, 1985, pp. 84-88.
[10] M. Holschneider and Ph. Tchamitchan, Régularité locale de la fonction non- differentiable de Riemann, Lecture Notes Math. 1438 (1990), 102-124.
[11] J. Hutchinson, Fractals and self-similarity, Indiana Univ. Math. J. 30 (1981), 713-747.
[12] S. Jaffard, Exposants de Hölder en des points donnés et coefficients d’ondelettes, C. R. Acad. Sci. Paris Sér. I Math. 308 (1989), 79-81.
[13] S. Jaffard, Pointwise smoothness, two-microlocalization and wavelet coefficients, Publ. Mat. 35 (1991), 155-168.
[14] S. Jaffard and B. Mandelbrot, Local regularity of nonsmooth wavelet expansions and applications to the Polya function, Adv. Math. 120 (1996), 265-282.
[15] P. G. Lemarié, Ondelettes à localisation exponentielle, J. Mat. Pures Appl. 67 (1988), 227-236.
[16] Y. Meyer, Ondelettes et opérateurs, Hermann, 1990.
[17] Y. Meyer, Les espaces 2-microlocaux, Cours de DEA à l’Université de Paris Dauphine, 1992.
[18] J. O. Strömberg, A modified Franklin system and higher order spline systems on Rn as unconditional basis for Hardy spaces, Conference in Harmonic Analysis in Honor of Anthony Zygmund, Wadsworth, Balmont, CA, 1982.
[19] C. Tricot, Rectifiable and fractal sets, Fractal Geometry and Analysis, J. Bélair and S. Dubuc, eds., NATO ASI Ser., Kluwer Academic Publishers, Dordrecht, Netherlands, 1991, pp. 367-404. |