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On interpolation families of wavelet sets
Author(s):
Qing
Gu
Journal:
Proc. Amer. Math. Soc.
128
(2000),
2973-2979.
MSC (2000):
Primary 42C40
Posted:
March 3, 2000
MathSciNet review:
1670371
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Abstract:
The question of which groups are isomorphic to groups of interpolation maps for interpolation families of wavelet sets was raised by Dai and Larson. In this article it is shown that any finite group is isomorphic to a group of interpolation maps for some interpolation family of wavelet sets.
References:
-
- [C]
- C. K. Chui, An Introduction to Wavelets, Acad. Press, New York, 1993. MR 93f:42055
- [DL]
- X. Dai and D. Larson, Wandering vectors for unitary systems and orthogonal wavelets, Memoirs of the AMS, July 1998, Volume 134, Number 640. MR 98m:47067
- [FW]
- X. Fang and X. Wang, Construction of minimally supported frequency (MSF) wavelets, J. Fourier Analysis and Applications 2(1996), 315-327. MR 97d:42030
- [H]
- P. Halmos, A Hilbert Space Problem Book, second ed., Springer-Verlag, New York, 1982. MR 84e:47001
- [HWW1]
- E. Hernandez, X. Wang and G. Weiss, Smoothing minimally supported (MSF) wavelets: Part I, J. Fourier Analysis and Applications, 2(1996), 329-340. MR 97h:42015
- [HWW2]
- E. Hernandez, X. Wang and G. Weiss, Smoothing minimally supported (MSF) wavelets: Part II, to appear. MR 98b:42049
- [S]
- D. Speegle, The s-elementary wavelets are path-connected, Proc. Amer. Math. Soc., to appear. MR 99b:42045
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Additional Information:
Qing
Gu
Affiliation:
Department of Mathematics, The University of North Carolina at Charlotte, Charlotte, North Carolina 28223
Address at time of publication:
Department of Mathematics, Beijing University, Beijing 100871, People's Republic of China
Email:
qgu@math.uncc.edu
DOI:
10.1090/S0002-9939-00-05380-6
PII:
S 0002-9939(00)05380-6
Keywords:
Interpolation family of wavelet sets,
wavelet
Received by editor(s):
July 7, 1998
Received by editor(s) in revised form:
November 24, 1998
Posted:
March 3, 2000
Communicated by:
Dale Alspach
Copyright of article:
Copyright
2000,
American Mathematical Society
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