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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  
The AFD methods to compute Hilbert transform Journal article
Applied Mathematics Letters, 2015,Volume: 45,Page: 18-24
Authors:  Mo Y.;  Qian T.;  Mai W.;  Chen Q.
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Adaptive  Fourier Decomposition  Hardy Space  Hilbert Transform  Orthogonal Rational System  Takenaka-malmquist System  
Sparse representation in Szego kernels through reproducing kernel Hilbert space theory with applications Journal article
International Journal of Wavelets, Multiresolution and Information Processing, 2015,Volume: 13,Issue: 4
Authors:  Mo Y.;  Qian T.;  Mi W.
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Frequency-domain Identification  Reproducing Kernel Hilbert Space  Sparse Representation  Support Vector Machine  Szego Kernel  
Optimal approximation by Blaschke forms Journal article
Complex Variables and Elliptic Equations, 2013,Volume: 58,Issue: 1,Page: 123-133
Authors:  Qian T.;  Wegert E.
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Adaptive Decomposition  Analytic Signal  Instantaneous Frequency  Mono-components  Rational Approximation  Rational Orthogonal System  Takenaka-malmquist System  
Adaptive Fourier decomposition of functions in quaternionic Hardy spaces Journal article
Mathematical Methods in the Applied Sciences, 2012,Volume: 35,Issue: 1,Page: 43-64
Authors:  Qian T.;  Sprossig W.;  Wang J.
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Adaptive Decomposition  Blaschke Product  Fourier-laplace Series  Greedy Algorithm  Hardy Space  Optimal Approximation By Rational Functions  Quaternionic Holomorphic  Spherical Harmonics  Takenaka-malmquist System  
A fast adaptive model reduction method based on Takenaka-Malmquist systems Journal article
Systems and Control Letters, 2012,Volume: 61,Issue: 1,Page: 223
Authors:  Mi W.;  Qian T.;  Wan F.
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Best Approximation  Impulse Response Energy  Model Order Reduction  Rational Approximation  Takenakamalmquist Basis  
Adaptive Fourier series-a variation of greedy algorithm Journal article
Advances in Computational Mathematics, 2011,Volume: 34,Issue: 3,Page: 279
Authors:  Qian T.;  Wang Y.-B.
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Adaptive Decomposition Of Functions  Analytic Signal  Blaschke Product  Complex Hardy Space  Greedy Algorithm  Instantaneous Frequency  Mono-components  Rational Orthonormal System  
Sampling theorem and multi-scale spectrum based on non-linear Fourier atoms Journal article
Applicable Analysis, 2009,Volume: 88,Issue: 6,Page: 903-919
Authors:  Chen Q.;  Qian T.
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Fourier Atoms  Moebius Transform  Shannon Sampling  Sinc Function