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| Plancherel Theorems of Quaternion Hilbert Transforms Associated with Linear Canonical Transforms Journal article
Advances in Applied Clifford Algebras, 2020,Volume: 30,Issue: 1
Authors: Kou，Kit Ian; Liu，Ming Sheng; Zou，Cuiming
  Favorite | | TC[WOS]:0 TC[Scopus]:0 | Submit date：2021/03/11
Analytic signal Hilbert transform Instantaneous amplitude Quaternion Fourier transform Quaternion Hilbert transform Quaternion linear canonical transform |
| Clifford coherent state transforms on spheres Journal article
JOURNAL OF GEOMETRY AND PHYSICS, 2018,Volume: 124,Page: 225-232
Authors: Dang, Pei; Mourao, Jose; Nunes, Joao P.; Qian, Tao
Favorite | | TC[WOS]:3 TC[Scopus]:2 | Submit date：2018/10/30
Clifford Analysis Coherent State Transforms Cauchy-kowalewski Extension |
| Uncertainty Principle and Phase–Amplitude Analysis of Signals on the Unit Sphere Journal article
Advances in Applied Clifford Algebras, 2017,Volume: 27,Issue: 4,Page: 2985-3013
Authors: Pei Dang; Tao Qian; Qiuhui Chen
Favorite | | TC[WOS]:3 TC[Scopus]:4 | Submit date：2019/02/11
Phase Derivative Spherical Dirac Operator Spherical Hilbert Transform Spherical Signals Uncertainty Principle |
| Coherent state transforms and the Weyl equation in Clifford analysis Journal article
JOURNAL OF MATHEMATICAL PHYSICS, 2017,Volume: 58,Issue: 1
Authors: Mourao, Jose; Nunes, Joao P.; Qian, Tao
Favorite | | TC[WOS]:7 TC[Scopus]:10 | Submit date：2018/10/30 |
| Extending coherent state transforms to Clifford analysis Journal article
Journal of Mathematical Physics, 2016,Volume: 57,Issue: 10
Authors: Kirwin W.D.; Mourao J.; Nunes J.P.; Qian T.
Favorite | | TC[WOS]:12 TC[Scopus]:11 | Submit date：2019/02/11 |
| 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
Favorite | | TC[WOS]:15 TC[Scopus]:16 | Submit date：2019/02/11
H∞ Functional Calculus N-tuples Of Noncommuting Operators Quaternionic Operators S-spectrum |
| 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]:3 TC[Scopus]:4 | Submit date：2019/02/11
Amplitude Derivative Hilbert Transform Phase Derivative Signals In Euclidean Spaces Uncertainty Principle |
| Space-frequency analysis in higher dimensions and applications Journal article
Annali di Matematica Pura ed Applicata, 2015,Volume: 194,Issue: 4,Page: 953-968
Authors: Yang Y.; Dang P.; Qian T.
Favorite | | TC[WOS]:4 TC[Scopus]:4 | Submit date：2019/02/11
Frequency Gauss Kernel Hilbert Transform Monogenic Signals Poisson Kernel UncertaInty PrInciple In Higher Dimensions |
| Fueter mapping theorem in hypercomplex analysis Book chapter
出自: Operator Theory:Springer, Basel, 2015
Authors: Tao Qian
Favorite | | TC[WOS]:0 TC[Scopus]:7 | Submit date：2019/06/17
Dirac Operator Clifford Algebra Functional Calculus Singular Integral Operator Fourier Multiplier |
| Matching pursuits among shifted cauchy kernels in higher-dimensional spaces Journal article
Acta Mathematica Scientia, 2014,Volume: 34,Issue: 3,Page: 660-672
Authors: Qian T.; Wang J.; Yang Y.
Favorite | | TC[WOS]:1 TC[Scopus]:3 | Submit date：2019/02/11
Adaptive Decomposition Dictionary Hardy Space Matching Pursuit Monogenic Optimal Approximation By Rational Functions |
