Wavelet frames for distributions; Local and pointwise regularity

Studia Mathematica

Volumn 154, Issue 1, 2003, Pages 59-88

  Triebel, Hans ^a  

^a FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037224954     PISSN: 00393223     EISSN: None     Source Type: Journal    
DOI: 10.4064/sm154-1-5     Document Type: Article

References (18)

1. I. Daubechies, Ten Lectures on Wavelets, CBMS-NSF Regional Conf. Ser. in Appl. Math. 61, SIAM, Philadelphia, 1992.
2. M. Frazier, B. Jawerth and G. Weiss, Littlewood-Paley Theory and the Study of Function Spaces, CBMS Regional Conf. Ser. in Math. 79, Amer. Math. Soc., Providence, 1991.
3. S. Jaffard, On the Frisch-Parisi conjecture, J. Math. Pures Appl. 79 (2000), 525-552.
4. S. Jaffard, Wavelet expansions, function spaces and multifractal analysis, in: Twentieth Century Harmonic Analysis-A Celebration (II Ciocco, 2000), Kluwer, Dordrecht, 2001, 127-144.
5. S. Jaffard and Y. Meyer, Wavelet methods for pointwise regularity and local oscillations of functions, Mem. Amer. Math. Soc. 587 (1996).
6. S. Mallat, A Wavelet Tour of Signal Processing, Academic Press, San Diego, 1999.
7. Y. Meyer, Wavelets and Operators, Cambridge Univ. Press, Cambridge, 1992.
8. _, Wavelets, vibrations and settlings, CRM Monogr. Ser. 9, Amer. Math. Soc., Providence, 1998.
9. T. Runst and W. Sickel, Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations, de Gruyter, Berlin, 1996.
10. H. Triebel, Fourier Analysis and Function Spaces, Teubner, Leipzig, 1977.
11. _, Theory of Function Spaces, Birkhäuser, Basel, 1983.
12. _, Theory of Function Spaces II, Birkhäuser, Basel, 1992.
13. _, Fractals and Spectra, Birkhäuser, Basel, 1997.
14. _, The Structure of Functions, Birkhäuser, Basel, 2001.
15. _, Towards a Gausslet analysis: Gaussian representations of functions, in: Function Spaces. Interpolation Theory and Related Topics (Lund, 2000), de Gruyter, Berlin, 2002, 425-449.
16. _, Fractal characteristics of measures, an approach via function spaces, Jena, 2001 (submitted).
17. H. Winkelvoss, Function spaces related to fractals. Intrinsic atomic characterizations of function spaces on domains, PhD thesis, Jena, 1995.
18. P. Wojtaszczyk, A Mathematical Introduction to Wavelets, Cambridge Univ. Press, Cambridge, 1997.