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In this paper we use a unified way studying the decay estimate for a class of dispersive semigroup given by eitφ( √ −∆), where φ : R+ → R is smooth away from the origin. Especially, the decay estimates for the solutions of the Klein-Gordon equation and the beam equation are simplified and slightly improved.

- Hongzhi Tong, Di-Rong Chen, Lizhong Peng
- J. Complexity
- 2008

- Lizhong Peng, WeiTao Yuan
- IJWMIP
- 2007

This paper introduces the higher-density dual-tree (HDDT) discrete wavelet transform (DWT). A new MRA is introduced to describe higher-density DWT and used to obtain the sufficient condition for the HDDT Hilbert transform pair. In designing HDDT filters we use the extended common-factor method which not only includes the common-factor method but also… (More)

- Zihua Guo, Pengtao Li, Lizhong Peng
- 2008

Abstract: In this paper we consider Lp boundedness of some commutators of Riesz transforms associated to Schrödinger operator P = −∆+ V (x) on Rn, n ≥ 3. We assume that V (x) is non-zero, nonnegative, and belongs to Bq for some q ≥ n/2. Let T1 = (−∆ + V ) −1V, T2 = (−∆ + V )−1/2V 1/2 and T3 = (−∆+ V ) −1/2∇. We obtain that [b, Tj ] (j = 1, 2, 3) are bounded… (More)

- Lizhong Peng, Yongge Wang
- Science in China Series : Information Sciences
- 2004

In this paper, a new method of constructing symmetric (antisymmetric) scaling and wavelet filters is introduced, and we get a new type of wavelet system that has very beautiful structure. Using this kind of wavelet system, we can achieve filters with the properties: rational, symmetric or antisymmetric, the lengths of the filters are shorter and the… (More)

- PENGTAO LI, LIZHONG PENG
- 2010

In this paper, we discuss the H1 L -boundedness of commutators of Riesz transforms associated with the Schrödinger operator L =−4+ V , where H1 L (R n) is the Hardy space associated with L . We assume that V (x) is a nonzero, nonnegative potential which belongs to Bq for some q > n/2. Let T1 = V (x)(−4+ V )−1, T2 = V 1/2(−4+ V )−1/2 and T3 =∇(−4+ V )−1/2.… (More)

- Bingyin Zhou, Fan Zhang, Lizhong Peng
- IEEE Trans. Circuits Syst. Video Techn.
- 2013

- Baobin Li, Lizhong Peng
- IJWMIP
- 2008

- Baobin Li, Lizhong Peng
- IEEE Transactions on Image Processing
- 2011

The parametrization for one kind of multifilter banks generating balanced multiwavelets is presented in this paper, in which two lowpass filters are flipping filters, and two highpass filters have linear phase. Based on these parametric expressions, some balanced multiwavelets and analysis-ready multiwavelets are constructed, which are symmetric, or… (More)

- Hongzhi Tong, Di-Rong Chen, Lizhong Peng
- Foundations of Computational Mathematics
- 2009