Cite

[1] L. Debnath and F. A. Shah, Wavelet Transforms and Their Applications, Birkhäuser, New York, 2015.10.1007/978-0-8176-8418-1Search in Google Scholar

[2] B. Fuglede, Commuting self-adjoint partial different operators and a group theoretic problem. J. Funct. Anal., 16 (1974), 101–121.10.1016/0022-1236(74)90072-XSearch in Google Scholar

[3] J. P. Gabardo and M. Z. Nashed, An analogue of Cohen’s condition for nonuniform multiresolution analyses, in: A. Aldroubi, E. Lin (Eds.), Wavelets, Multiwavelets and Their Applications, in: Cont. Math., 216, Amer. Math. Soc., Providence, RI, (1998), 41–61.10.1090/conm/216/02963Search in Google Scholar

[4] J. P. Gabardo and M. Z. Nashed, Nonuniform multiresolution analysis and spectral pairs, J. Funct. Anal., 158 (1998), 209–241.10.1006/jfan.1998.3253Search in Google Scholar

[5] J. P. Gabardo and X. Yu, Wavelets associated with nonuniform multiresolution analysis and one-dimensional spectral pairs, J. Math. Anal. Appl., 323 (2006), 798–817.10.1016/j.jmaa.2005.10.077Search in Google Scholar

[6] S. G. Mallat, Multiresolution approximations and wavelet orthonormal bases of L2(R), Trans. Amer. Math. Soc., 315 (1989), 69–87.10.1090/S0002-9947-1989-1008470-5Search in Google Scholar

[7] X. Yu and J. P. Gabardo, Nonuniform wavelets and wavelet sets related to the one-dimensional spectral pairs, J. Approx. Theory., 145 (2007), 133–139.10.1016/j.jat.2006.07.006Search in Google Scholar

eISSN:
2066-7752
Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Mathematics, General Mathematics