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| Reproducing kernel representation of the solution of second order linear three-point boundary value problem Journal article Mathematical Methods in the Applied Sciences, 2022 Authors: Bai, Hongfang; Leong, Ieng Tak ; Dang, Pei
 Favorite | | TC[WOS]:0 TC[Scopus]:0 | Submit date:2022/06/14 Numerical Solutions Reproducing Kernel Hilbert Space Three-point Boundary Value Problem W-poafd Weak Maximal Selection Principle |
| A Novel Scheme Based on the Diffusion to Edge Detection Journal article IEEE TRANSACTIONS ON IMAGE PROCESSING, 2019,Volume: 28,Issue: 4,Page: 1613-1624 Authors: He, Yuesheng; Ni, Lionel M.
 Favorite | | TC[WOS]:12 TC[Scopus]:17 | Submit date:2019/01/17 Image processing diffusion edge detection Sobolev space Bessel potential |
| Reconstruction of analytic signal in Sobolev space by framelet sampling approximation Journal article APPLICABLE ANALYSIS, 2018,Volume: 97,Issue: 2,Page: 194-209 Authors: Li, Youfa; Qian, Tao
 Favorite | | TC[WOS]:1 TC[Scopus]:1 | Submit date:2018/10/30 Analytic Signal Dual Framelets Sobolev Space Adjustable Sampling System Approximation Order Dnumerical Singularity |
| Extra-strong uncertainty principles in relation to phase derivative for signals in Euclidean spaces Journal article Journal of Mathematical Analysis and Applications, 2016,Volume: 437,Issue: 2,Page: 912-940 Authors: Pei Dang; Tao Qian; Yan Yang
 Favorite | | TC[WOS]:5 TC[Scopus]:6 | Submit date:2019/02/11 Amplitude Derivative Hilbert Transform Phase Derivative Signals In Euclidean Spaces Uncertainty Principle |
| Signal moments for the short-time Fourier transform associated with Hardy-Sobolev derivatives Journal article Mathematical Methods in the Applied Sciences, 2015,Volume: 38,Issue: 13,Page: 2719-2730 Authors: Liu M.; Kou K.I. ; Morais J.; Dang P.
 Favorite | | TC[WOS]:4 TC[Scopus]:4 | Submit date:2019/02/13 Amplitude-phase Representation Of Signal Hardy-sobolev Space Hilbert Transform Instantaneous Frequency Short-time Fourier Transform Signal Moment |
| Signal moments for the short-time Fourier transform associated with Hardy-Sobolev derivatives Journal article Mathematical Methods in the Applied Sciences, 2015,Volume: 38,Issue: 13,Page: 2719-2730 Authors: Liu,M.; Kou,K. I.; Morais,J.; Dang,P.
 Favorite | | TC[WOS]:4 TC[Scopus]:4 | Submit date:2021/03/11 amplitude-phase representation of signal Hardy-Sobolev space Hilbert transform instantaneous frequency short-time Fourier transform signal moment |
| Sharper uncertainty principles for the windowed Fourier transform Journal article Journal of Modern Optics, 2015,Volume: 62,Issue: 1,Page: 46-55 Authors: Liu M.-S.; Kou K.I. ; Morais J.; Dang P.
 Favorite | | TC[WOS]:4 TC[Scopus]:5 | Submit date:2019/02/13 Amplitude-phase Representation Of Signal Hardy-sobolev Space Heisenberg's Uncertainty Principle Instantaneous Frequency Signal Moment Windowed Fourier Transform |
| Support vector machine adapted Tikhonov regularization method to solve Dirichlet problem Journal article Applied Mathematics and Computation, 2014,Volume: 245,Page: 509-519 Authors: Mo Y.; Qian T.
 Favorite | | TC[WOS]:9 TC[Scopus]:8 | Submit date:2019/02/11 Dirichlet Problem Gaussian Rkhs Reproducing Kernel Sobolev Space Support Vector Machine Tikhonov Regularization |
| How to catch smoothing properties and analyticity of functions by computers? Book 2014 Authors: Castro L.P.; Fujiwara H.; Qian T.; Saitoh S.
 Favorite | | TC[WOS]:0 TC[Scopus]:4 | Submit date:2019/02/11 Analyticity Aveiro discretization Band preserving Multiplyprecision Numerical experiment Phase retrieval Reproducing kernel Sobolev space |
| Sampling error analysis and some properties of non-bandlimited signals that are reconstructed by generalized sinc functions Journal article Applicable Analysis, 2014,Volume: 93,Issue: 2,Page: 305-315 Authors: Li Y.; Chen Q.; Qian T.; Wang Y.
 Favorite | | TC[WOS]:3 TC[Scopus]:3 | Submit date:2019/02/11 Generalized Sinc Function Noisy Error Non-bandlimited Signal Reproducing Property Sampling Theorem Sobolev Smoothness Truncated Error |