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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  
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  
Integral representation and estimation of harmonic functions in the quaternionic half space Journal article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017,Volume: 40,Issue: 15,Page: 5484-5489
Authors:  Zhang, Yan Hui;  Kou, Kit Ian
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Integral Representation  Dirichlet Problem  Lower Bound  
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  
Quaternion-Michelson Descriptor for Color Image Classification Journal article
IEEE Transactions on Image Processing, 2016,Volume: 25,Issue: 11,Page: 5281-5292
Authors:  Lan R.;  Zhou Y.
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Color Image Classification  Local Descriptor  Michelson Contrast  Quaternion  Quaternionic Representation (Qr)  
On the inversion of Fueter's theorem Journal article
Journal of Geometry and Physics, 2016,Volume: 108,Page: 102-116
Authors:  Baohua Dong;  Kit Ian Kou;  Tao Qian;  Irene Sabadini
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Axially Monogenic Functions  Fourier Multipliers  Fueter Theorem  Slice Hyperholomorphic Functions  
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  
The H∞ functional calculus based on the S-spectrum for quaternionic operators and for n-tuples of noncommuting operators Journal article
Journal of Functional Analysis, 2016,Volume: 271,Issue: 6,Page: 1544-1584
Authors:  Daniel Alpay;  Fabrizio Colombo;  Tao Qian;  Irene Sabadini
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H∞ Functional Calculus  N-tuples Of Noncommuting Operators  Quaternionic Operators  S-spectrum  
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  
On 3D orthogonal prolate spheroidal monogenics Journal article
Mathematical Methods in the Applied Sciences, 2016,Volume: 39,Issue: 4,Page: 635-648
Authors:  Morais J.;  Nguyen H.M.;  Kou K.I.
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Ferrer's Associated Legendre Functions  Hyperbolic Functions  Prolate Spheroidal Harmonics  Prolate Spheroidal Monogenics  Quaternionic Analysis  Riesz System