Orthogonal wavelets on the Cantor dyadic group

SIAM Journal on Mathematical Analysis

Volumn 27, Issue 1, 1996, Pages 305-312

  Lang, W Christopher ^a  

^a INDIANA UNIVERSITY SOUTHEAST   (United States)

Author keywords

Cantor dyadic group; Locally compact Abelian groups; Orthogonal wavelets

Indexed keywords

EID: 0038873572     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141093248049     Document Type: Article

References (11)

1. L. A. BAGGETT, A. CAREY, W. MORAN, AND P. OHRING, General existence theorem for orthonormal wavelets: An abstract approach, Publ. Res. Inst. Math. Sci., 31 (1995), pp. 95-112.
2. I. DAUBECHIES, Ten Lectures on Wavelets, Society for Industrial and Applied Mathematics, Philadelphia, 1992.
3. R. E. EDWARDS AND G. I. GAUDRY, Littlewood-Paley and Multiplier Theory, Springer-Verlag, New York, 1985.
4. n, IEEE Trans. Inform. Theory, 38 (1992), pp. 556-568.
5. E. HEWITT AND K. A. ROSS, Abstract Harmonic Analysis I, Springer-Verlag, Berlin, 1963.
6. I. KLUVANEK, Sampling theorem in abstract harmonic analysis, Matematicko-Fyzikálny Časopis Slovenská Akadémia Vied (Bratislava), 15 (1965), pp. 43-48.
7. P. G. LEMARIE, Bases d'ondelettes sur les groupes de Lie stratfies, Bull. Soc. Math. France, 117 (1989), pp. 211-233.
8. 2(R), Trans. Amer. Math. Soc., 315 (1989), pp. 69-87.
9. Y. MEYER, Ondelettes et Opérateurs I, Hermann, Paris, 1990.
10. F. SCHIPP, W. R. WADE, AND P. SIMON, Walsh Series: An Introduction to Dyadic Harmonic Analysis, Adam Hilger, Bristol and New York, 1990.
11. M. H. TAIBLESON, Fourier analysis on local fields, Mathematical Notes, no. 15, Princeton University Press, Princeton, 1975.