논문KCI 등재
Path-Connectivity of Two-Interval MSF Wavelets
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참고문헌
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초록
In this paper, we obtain that the space W₂of minimally supported frequency wavelets, the supports of whose Fourier transforms consist of two intervals, is path-connected.
Abstract
In this paper, we obtain that the space W₂of minimally supported frequency wavelets, the supports of whose Fourier transforms consist of two intervals, is path-connected.
참고문헌 (9)
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- Y. Ha, "Unimodular wavelets for L2 and the Hardy space H2", Michigan Math. J, 41, pp.345~361 (1994)
- E. Hernandez, "A First Course on Wavelets" (1996), CRC Press
- Z. Li, "The Path-connectivity of MRA wavelets in L2(Rd)", Illinois J. Math
- Z. Li, "Multipliers, phases and connectivity of MRA wavelets in L2(R2)", J. Fourier Anal. Appl, 16, pp.155~176 (2010)
- S. G. Mallat, "Multiresolution approximations and wavelet orthonormal bases of L2(R)", Trans. Amer. Math. Soc, 315, pp.69~87 (1989)
- D. Speegle, "The s-elementary wavelets are path-connected", Proc. Amer. Math. Soc, 127, pp.223~233 (1999)
- The Wutam Consortium, "Basic properties of wavelets", J. Fourier Anal. Appl, 4, pp.575~594 (1998)
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