Results 1 to 10 of about 1,412 (195)
Wiener algebra for the quaternions [PDF]
Mediterranean Journal of Mathematics, 2015 We define and study the counterpart of the Wiener algebra in the quaternionic setting, both for the discrete and continuous case. We prove a Wiener-L vy type theorem and a factorization theorem. We give applications to Toeplitz and Wiener-Hopf operators.
Daniel Alpay +3 more
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Free Groups in Quaternion Algebras
Journal of Algebra, 2009 10 pages, article presented in conferences: Algebra School, Brasilia-Brazil, Brasilia National University (july-2010); Summer 2009 Meeting of CMS in Groups and Hopf Algebras section, St. Jonh's-Canada, Memorial University of Newfoundland (June-2009); Groups, Rings and Group Rings, Ubatuba-Brazil (july-2008)
S. O. Juriaans, A. C. Souza Filho
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Algebras of generalized quaternion type [PDF]
Advances in Mathematics, 2019 We introduce and study the algebras of generalized quaternion type, which are natural generalizations of algebras which occurred in the study of blocks of group algebras with generalized quaternion defect groups. We prove that all these algebras, with 2-regular Gabriel quivers, are periodic algebras of period 4 and very specific deformations of the ...
Karin Erdmann, Andrzej Skowroński
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On the linkage of quaternion algebras [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2002 T. Y. Lam
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Characteristic of Quaternion Algebra Over Fields
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023 Quaternion is an extension of the complex number system. Quaternion are discovered by formulating 4 points in 4-dimensional vector space using the cross product between two standard vectors. Quaternion algebra over a field is a 4-dimensional vector space
Muhammad Faldiyan +2 more
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RSVD for Three Quaternion Tensors with Applications in Color Video Watermark Processing
Axioms, 2023 In this paper, we study the restricted singular-value decomposition (RSVD) for three quaternion tensors under the Einstein product, and give higher-order RSVD over the quaternion algebra, which can achieve simultaneous singular value decomposition of ...
Wen-Juan Chen, Shao-Wen Yu
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On numerical/non-numerical algebra: Semi-tensor product method
Mathematical Modelling and Control, 2021 A kind of algebra, called numerical algebra, is proposed and investigated. As its opponent, non-numerical algebra is also defined. The numeralization and dis-numeralization, which convert non-numerical algebra to numerical algebra and vise versa, are ...
Daizhan Cheng +3 more
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Quaternion and Split Quaternion Neural Networks for Low-Light Color Image Enhancement
IEEE Access, 2023 In this study, two models of multilayer quaternionic feedforward neural networks are presented. Whereas the first model is based on quaternion algebra, the second model uses split quaternion algebra.
Eduardo Jesus De Davila-Meza +1 more
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Existence of Split Property in Quaternion Algebra Over Composite of Quadratic Fields
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023 Quaternions are extensions of complex numbers that are four-dimensional objects. Quaternion consists of one real number and three complex numbers, commonly denoted by the standard vectors and .
Muhammad Faldiyan +2 more
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International Journal of Advanced Robotic Systems, 2011 In this paper, we compare three inverse kinematic formulation methods for the serial industrial robot manipulators. All formulation methods are based on screw theory.
Emre Sariyildiz +2 more
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