Wavelet analysis on the Cantor dyadic group

Houston Journal of Mathematics

Volumn 24, Issue 3, 1998, Pages 533-544

  Lang, W Christopher ^a  

^a INDIANA UNIVERSITY SOUTHEAST   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032411773     PISSN: 03621588     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. Dahlke, S., Multiresolution analysis and wavelets on locally compact abelian groups, Wavelets, Images, and Surface Fitting, edited by P.-J. Laurent, A. Le Méhanté and L. L. Schumaker, AK Peters, Wellesley, Massachusetts, 1994.
2. Daubechies, I., Ten Lectures on Wavelets, CBMS 61, SIAM, Philadelphia, 1992.
3. Dyn'kin, E. M., Methods of the Theory of Singular Integrals, Commutative Harmonic Analysis I, Khavin and Nikol'skij (Eds.), Springer, Berlin, 1991.
4. Edwards, R. E.; Gaudry, G. I., Littlewood-Paley and Multiplier Theory, Springer, Berlin, 1977.
5. Golubov, B.; Efimov, A., Walsh Series and Transforms, Kluwer, 1991.
6. n, IEEE Trans. Infor. Theory 38 (1992), 556-568.
7. Hewitt, E.; Ross, K. A., Abstract Harmonic Analysis I; II, Springer, Berlin, 1963; 1970.
8. Holschneider, M., Wavelets, An Analysis Tool, Clarendon Press, Oxford, 1995.
9. Kluvanek, I., Sampling theorem in abstract harmonic analysis, Mat.-Fyz. Časopis Sloven. Akad. Vied 15 (1965), 43-48.
10. Lang, W. C., Orthogonal wavelets on the Cantor dyadic group, SIAM J. Math. Ana. 27 (1996), 305-312.
11. Lang, W. C., Fractal multiwavelets related to the Cantor dyadic group, Int. J. Math. and Math. Sci. 21 (1998), 307-314.
12. Lemarie, P. G., Bases d'ondelettes sur les groupes de Lie stratfies, Bull. Math. Soc. France 117 (1989), 211-233.
13. 2(R), Trans. Amer. Math. Soc. 315 (1989), 69-87.
14. Meyer, Y., Ondelettes et Opérateurs I; II, Hermann, Paris, 1975.
15. Schipp, F.; Wade, W. R.; Simon, P., Walsh Series, Adam Hilger, 1990.
16. Stein, E., Singular Integrals and Differentiability Properties of Functions, Princeton, New Jersey, 1970.
17. Taibleson, M., Fourier analysis on local fields, Princeton, New Jersey, 1975.