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Painlevé transcendents and the Hankel determinants generated by a discontinuous Gaussian weight Journal article
Mathematical Methods in the Applied Sciences, 2019,Volume: 42,Issue: 1,Page: 301-321
Authors:  Min C.;  Chen Y.
Favorite  |  View/Download:4/0  |  Submit date:2019/02/12
Asymptotics  Hankel Determinants  Ladder Operators  Orthogonal Polynomials  Painlevé Transcendents  Random Matrices  
The smallest eigenvalue of large Hankel matrices generated by a deformed Laguerre weight Journal article
Mathematical Methods in the Applied Sciences, 2019,Volume: 42,Issue: 9,Page: 3272-3288
Authors:  Mengkun Zhu;  Niall Emmart;  Yang Chen;  Charles Weems
Favorite  |  View/Download:4/0  |  Submit date:2019/05/31
Asymptotics  Hankel Matrices  Random Matrix  Smallest Eigenvalue  Orthogonal Polynomials  
Nonlinear difference equations arising from the generalized Stieltjes‐Wigert and q‐Laguerre weights Journal article
Mathematical Methods in the Applied Sciences, 2018,Volume: 41,Issue: 6,Page: 2442–2465
Authors:  Hongmei Chen;  Galina Filipuk;  Yang Chen
Favorite  |  View/Download:3/0  |  Submit date:2019/06/03
Asymptotic Expansions  Singularity Confinement  Difference Equations  Discrete Painlevé Equations  Orthogonal Polynomials  
Herglotz's theorem and quaternion series of positive term Journal article
Mathematical Methods in the Applied Sciences, 2016,Volume: 39,Issue: 18,Page: 5607-5618
Authors:  Kou K.I.;  Liu M.-S.;  Tao S.-Z.
Favorite  |  View/Download:3/0  |  Submit date:2019/02/13
Herglotz's Theorem  The (Two-sided) Quaternion Linear Canonical Transform  The Positive-definite Quaternion Function  The Positive-definite Quaternion Sequence  The Quaternion Infinite Series Of Positive Term  
Constructing prolate spheroidal quaternion wave functions on the sphere Journal article
Mathematical Methods in the Applied Sciences, 2016,Volume: 39,Issue: 14,Page: 3961-3978
Authors:  Morais J.;  Kou K.I.
Favorite  |  View/Download:2/0  |  Submit date:2019/02/13
30c65  Prolate Spheroidal Wave Functions  Quaternionic Analysis  Quaternionic Fourier Transform  Quaternionic Functions  Spherical Harmonics  Subclass 30g35  The Energy Concentration Problem  
Linear statistics of matrix ensembles in classical background Journal article
Mathematical Methods in the Applied Sciences, 2016,Volume: 39,Issue: 13,Page: 3758-3790
Authors:  Min C.;  Chen Y.
Favorite  |  View/Download:6/0  |  Submit date:2019/02/12
Asymptotics  Linear Spectral Statistics  Orthogonal Polynomials  Random Matrices  
Adaptive Fourier tester for statistical estimation Journal article
Mathematical Methods in the Applied Sciences, 2016,Volume: 39,Issue: 12,Page: 3478-3495
Authors:  Qiuhui Chen;  Tao Qian;  Yuan Li;  Weixiong Mai;  Xingfa Zhang
Favorite  |  View/Download:5/0  |  Submit date:2019/02/11
Adaptive  Approximation Order  Cayley Transform  Hardy Space  Tm Estimator  
Two-dimensional adaptive Fourier decomposition Journal article
Mathematical Methods in the Applied Sciences, 2016,Volume: 39,Issue: 10,Page: 2431-2448
Authors:  Tao Qian
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Complex Hardy Space  Greedy Algorithm  Induced Complete Dictionary  Instantaneous Frequency  Multiple Fourier Series  Product-szegö Dictionary  Product-tm System  Rational Orthogonal System  Several Complex Variables  Signal Analysis  Systems Identification  Takenaka–malmquist System  
Uncertainty principles associated with quaternionic linear canonical transforms Journal article
Mathematical Methods in the Applied Sciences, 2016,Volume: 39,Issue: 10,Page: 2722-2736
Authors:  Kou K.I.;  Ou J.;  Morais J.
Favorite  |  View/Download:2/0  |  Submit date:2019/02/13
Gaussian Quaternionic Signal  Hypercomplex Functions  Quantum Mechanics  Quaternion Analysis  Quaternionic Fourier Transform  Quaternionic Linear Canonical Transform  Uncertainly Principle  
A robust tracking method with adaptive local spatial sparse representation Journal article
Mathematical Methods in the Applied Sciences, 2016,Volume: 39,Issue: 5,Page: 1129-1134
Authors:  Zhang Q.;  Zhu Y.;  Wu S.;  Luo G.;  Zhang L.
Favorite  |  View/Download:2/0  |  Submit date:2019/04/04
Multiple Subspaces  Sparse Representation  Subclass97r99  Trivial Samples  Visual Tracking