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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
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