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Prolate spheroidal wave functions associated with the quaternionic Fourier transform Journal article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018,Volume: 41,Issue: 11,Page: 4003-4020
Authors:  Zou, Cuiming;  Kou, Kit Ian;  Morais, Joao
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Quaternionic Analysis  Quaternionic Fourier Transform  Quaternionic Signal  The Energy Concentration Problem  Mathieu Functions  Bandlimited Extrapolation  
Prolate spheroidal wave functions associated with the quaternionic Fourier transform Conference paper
Mathematical Methods in the Applied Sciences
Authors:  Zou C.;  Kou K.I.;  Morais J.
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bandlimited extrapolation  Mathieu functions  quaternionic analysis  quaternionic Fourier transform  quaternionic signal  the energy concentration problem  
Novel Sampling Formulas Associated with Quaternionic Prolate Spheroidal Wave functions Journal article
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2017,Volume: 27,Issue: 4,Page: 2961-2983
Authors:  Cheng, Dong;  Kou, Kit Ian
Favorite  |  View/Download:17/0  |  Submit date:2018/10/30
Spectral Theorem  Prolate Spheroidal Wave Function  Quaternion Reproducing-kernel Hilbert Spaces  Quaternion Fourier Transform  Whittaker-shannon-kotel'nikov Sampling Formula  
A Frame Theory of Hardy Spaces with the Quaternionic and the Clifford Algebra Settings Journal article
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2017,Volume: 27,Issue: 2,Page: 1073-1101
Authors:  Chen, Qiuhui;  Dang, Pei;  Qian, Tao
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Frame  Quaternion-hardy Space  Fourier Transform  Group Representation  
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.
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30c65  Prolate Spheroidal Wave Functions  Quaternionic Analysis  Quaternionic Fourier Transform  Quaternionic Functions  Spherical Harmonics  Subclass 30g35  The Energy Concentration Problem  
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.
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Gaussian Quaternionic Signal  Hypercomplex Functions  Quantum Mechanics  Quaternion Analysis  Quaternionic Fourier Transform  Quaternionic Linear Canonical Transform  Uncertainly Principle  
Novel uncertainty principles associated with 2D quaternion Fourier transforms Journal article
Integral Transforms and Special Functions, 2016,Volume: 27,Issue: 3,Page: 213-226
Authors:  Yang Y.;  Ian Kou K.
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Covariance  Heisenberg's Uncertainty Principle  Quaternion Fourier Transform  
Asymptotic behaviour of the quaternion linear canonical transform and the Bochner-Minlos theorem Journal article
Applied Mathematics and Computation, 2014,Volume: 247,Page: 675-688
Authors:  Kou K.I.;  Morais J.
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Asymptotic Behaviour  Bochner-minlos Theorem  Positive Definitely Measure  Quaternion Linear Canonical Transform  Quaternionic Analysis