Generalized Multi-Resolution Analyses and a Construction Procedure for All Wavelet Sets in ℝn

Journal of Fourier Analysis and Applications

Volumn 5, Issue 6, 1999, Pages 563-573

  Baggett, Lawrence W ^a   Medina, Herbert A ^b   Merrill, Kathy D ^c  

^a UNIVERSITY OF COLORADO   (United States)

^b LOYOLA MARYMOUNT UNIVERSITY   (United States)

^c University of Colorado College of Nursing   (United States)

Author keywords

Multi resolution analysis; Unitary representation; Wavelet; Wavelet set

Indexed keywords

EID: 0347468692     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01257191     Document Type: Article

References (9)

1. Baggett, L., Carey, A., Moran, W., and Ohring, P. (1995). General existence theorems for orthonormal wavelets, an abstract approach, Publ. Res. Inst. Math. Sci. Kyoto Univ., 31(1), 95-111.
2. Dai, X. and Larson, D.R. (1998). Wandering vectors for unitary systems and orthogonal wavelets, Mem. AMS, 134(640).
3. n, J. Fourier Anal. Appl., 3, 451-456.
4. n, II Contemp. Math., 216, 15-40.
5. Halmos, P. (1951). Introduction to Hilbert Space and the Theory of Spectral Multiplicity, Chelsea Publishing Co., New York.
6. Helson, H. (1986). The Spectral Theorem, Springer-Verlag, New York.
7. Mackey, G. (1976). The Theory of Unitary Group Representations, University of Chicago, Chicago.
8. Stone, M.H. (1932). Linear transformations in Hilbert space and their applications to analysis, Amer. Math. Soc.
9. Soardi, P. and Weiland, D. Single wavelets in n dimensions J. Fourier Anal. Appl., to appear.