Browse > Article
http://dx.doi.org/10.5666/KMJ.2011.51.3.293

Path-Connectivity of Two-Interval MSF Wavelets  

Singh, Divya (Department of Mathematics, University of Allahabad)
Publication Information
Kyungpook Mathematical Journal / v.51, no.3, 2011 , pp. 293-300 More about this Journal
Abstract
In this paper, we obtain that the space $\mathcal{W}_2$ of minimally supported frequency wavelets, the supports of whose Fourier transforms consist of two intervals, is path-connected.
Keywords
Wavelet set; MSF wavelet; Multiresolution analysis;
Citations & Related Records

Times Cited By SCOPUS : 0
연도 인용수 순위
  • Reference
1 X. Dai and D. R. Larson, Wandering vectors for unitary systems and orthogonal wavelets, Mem. Amer. Math. Soc., 134(1998), no. 640, MR 98m: 47067.
2 X. Fang and X. Wang, Construction of minimally-supported-frequency wavelets, J. Fourier Anal. Appl., 2(1996), 315-327.
3 Y. Ha, H. Kang, J. Lee and J. K. Seo, Unimodular wavelets for $L^{2}$ and the Hardy space $H^{2}$, Michigan Math. J., 41(1994), 345-361.   DOI
4 E. Hernandez and G. Weiss, A First Course on Wavelets, CRC Press, 1996.
5 Z. Li, X. Dai, Y. Diao and W. Huang, The Path-connectivity of MRA wavelets in $L^{2}(R^{d})$, Illinois J. Math., to appear.
6 Z. Li, X. Dai, Y. Diao and J. Xin, Multipliers, phases and connectivity of MRA wavelets in $L^{2}(R^{2})$, J. Fourier Anal. Appl., 16(2010), 155-176.   DOI
7 S. G. Mallat, Multiresolution approximations and wavelet orthonormal bases of $L^2(R)$, Trans. Amer. Math. Soc., 315(1989), 69-87.   DOI
8 D. Speegle, The s-elementary wavelets are path-connected, Proc. Amer. Math. Soc., 127(1999), 223-233.   DOI   ScienceOn
9 TheWutam Consortium, Basic properties of wavelets, J. Fourier Anal. Appl., 4(1998), 575-594.   DOI   ScienceOn