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On subwavelet sets
Author(s):
Eugen
J.
Ionascu;
Carl
M.
Pearcy
Journal:
Proc. Amer. Math. Soc.
126
(1998),
3549-3552.
MSC (1991):
Primary 42C15
MathSciNet review:
1476138
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Abstract:
In this note we give a characterization of subwavelet sets and show that any point  has a neighborhood which is contained in a regularized wavelet set.
References:
- 1.
- X. Dai and D. Larson, Wandering vectors for unitary systems and orthogonal wavelets, Memoirs Amer. Math. Soc., to appear. CMP 97:07
- 2.
- Q. Gu, D. Han, D. Larson, and S. Lu, MRA-wavelet sets associated with wavelet sets, preprint.
- 3.
- X. Fang and X. Wang, Construction of minimally-supported-frequency wavelets, J. Fourier Anal. and Appl. 2 (1996), 315-327. MR 97d:42030
- 4.
- E. Hernandez and G. L. Weiss, A first course on wavelets, CRC Press, 1996. MR 97i:42015
- 5.
- E. Hernandez, X. Wang, and G. L. Weiss, Smoothing minimally supported frequency
 MSF wavelets: Part I, J. Fourier Anal. and Appl. 2 (1996), 329-340. MR 97h:42015 - 6.
- Hernandez, X. Wang, and G. L. Weiss, Smoothing minimally supported frequency
 MSF wavelets: Part II, J. Fourier Anal. and Appl. 3 (1997), 23-41. MR 98b:42049 - 7.
- E. Ionascu, D. Larson, and C. Pearcy, On wavelet sets, submitted to J. Fourier Anal. and Appl.
- 8.
- D. Speegle, The s-elementary wavelets are path-connected, to appear in Proc. Amer. Math. Soc. CMP 97:17
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Additional Information:
Eugen
J.
Ionascu
Affiliation:
Department of Mathematics, Texas A&M University, College Station, Texas 77843
Address at time of publication:
Department of Mathematics, University of Georgia, Athens, Georgia 30602
Email:
ionascu@math.alpha.uga.edu
Carl
M.
Pearcy
Affiliation:
Department of Mathematics, Texas A&M University, College Station, Texas 77843
Email:
pearcy@math.tamu.edu
DOI:
10.1090/S0002-9939-98-04676-0
PII:
S 0002-9939(98)04676-0
Received by editor(s):
April 11, 1997
Communicated by:
David R. Larson
Copyright of article:
Copyright
1998,
American Mathematical Society
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