Zobrazeno 1 - 10
of 2 939
pro vyhledávání: '"Bie H"'
Publikováno v:
Lett. Math. Phys. 113 (2023), no. 5, article number 108
A model of the Bannai-Ito algebra in a superspace is introduced. It is obtained from the three-fold tensor product of the basic realization of the Lie superalgebra $osp(1|2)$ in terms of operators in one continuous and one Grassmanian variable. The b
Externí odkaz:
http://arxiv.org/abs/2306.02714
Autor:
Chen C; Jiangsu Key Laboratory of Environmental Science and Engineering, School of Environmental Science and Engineering, Suzhou University of Science and Technology, Suzhou 215009, P. R. China., Bie H; Jiangsu Key Laboratory of Environmental Science and Engineering, School of Environmental Science and Engineering, Suzhou University of Science and Technology, Suzhou 215009, P. R. China., Duan J; Jiangsu Key Laboratory of Environmental Science and Engineering, School of Environmental Science and Engineering, Suzhou University of Science and Technology, Suzhou 215009, P. R. China., Li Z; Jiangsu Key Laboratory of Environmental Science and Engineering, School of Environmental Science and Engineering, Suzhou University of Science and Technology, Suzhou 215009, P. R. China., Dou Y; Jiangsu Key Laboratory of Environmental Science and Engineering, School of Environmental Science and Engineering, Suzhou University of Science and Technology, Suzhou 215009, P. R. China., Wang H; Jiangsu Key Laboratory of Environmental Science and Engineering, School of Environmental Science and Engineering, Suzhou University of Science and Technology, Suzhou 215009, P. R. China., Liu W; Frontiers Science Center for Rare Isotope, School of Nuclear Science and Technology, Institute of National Nuclear Industry, Lanzhou University, Lanzhou 730000, P. R. China., Wang X; Jiangsu Key Laboratory of Environmental Science and Engineering, School of Environmental Science and Engineering, Suzhou University of Science and Technology, Suzhou 215009, P. R. China.
Publikováno v:
Environmental science & technology [Environ Sci Technol] 2024 Dec 03; Vol. 58 (48), pp. 21339-21349. Date of Electronic Publication: 2024 Nov 21.
Autor:
Xue L; College of Chemistry and Chemical Engineering, Ocean University of China, Qingdao 266100, Shandong, China., Hao Z; Institute of Oceanographic Instrumentation, Qilu University of Technology (Shandong Academy of Sciences), Qingdao 266100, China., Ren W; Institute of Oceanographic Instrumentation, Qilu University of Technology (Shandong Academy of Sciences), Qingdao 266100, China., Wang Y; Institute of Oceanographic Instrumentation, Qilu University of Technology (Shandong Academy of Sciences), Qingdao 266100, China., Liu G; Institute of Oceanographic Instrumentation, Qilu University of Technology (Shandong Academy of Sciences), Qingdao 266100, China., Liu J; College of Chemistry and Chemical Engineering, Ocean University of China, Qingdao 266100, Shandong, China., Wang H; College of Chemistry and Chemical Engineering, Ocean University of China, Qingdao 266100, Shandong, China. Electronic address: haizwang@ouc.edu.cn., Bie H; College of Chemistry and Chemical Engineering, Ocean University of China, Qingdao 266100, Shandong, China. Electronic address: haiyanbie@ouc.edu.cn.
Publikováno v:
Ultrasonics sonochemistry [Ultrason Sonochem] 2024 Oct; Vol. 109, pp. 106999. Date of Electronic Publication: 2024 Jul 17.
Publikováno v:
IMRN 2016, Issue 15, pp. 4649-4705
The Howe dual pair (sl(2),O(m)) allows the characterization of the classical Fourier transform (FT) on the space of rapidly decreasing functions as the exponential of a well-chosen element of sl(2) such that the Helmholtz relations are satisfied. In
Externí odkaz:
http://arxiv.org/abs/1411.6856
Recently, there has been an increasing interest in the study of hypercomplex signals and their Fourier transforms. This paper aims to study such integral transforms from general principles, using 4 different yet equivalent definitions of the classica
Externí odkaz:
http://arxiv.org/abs/1101.1793
Autor:
Dou Y; Jiangsu Key Laboratory of Environmental Science and Engineering, School of Environmental Science and Engineering, Suzhou University of Science and Technology, Suzhou, 215009, China., Bie H; Jiangsu Key Laboratory of Environmental Science and Engineering, School of Environmental Science and Engineering, Suzhou University of Science and Technology, Suzhou, 215009, China., Duan J; Jiangsu Key Laboratory of Environmental Science and Engineering, School of Environmental Science and Engineering, Suzhou University of Science and Technology, Suzhou, 215009, China., Wang H; Jiangsu Key Laboratory of Environmental Science and Engineering, School of Environmental Science and Engineering, Suzhou University of Science and Technology, Suzhou, 215009, China., Chen C; Jiangsu Key Laboratory of Environmental Science and Engineering, School of Environmental Science and Engineering, Suzhou University of Science and Technology, Suzhou, 215009, China. Electronic address: ccygroup@163.com., Wang X; Jiangsu Key Laboratory of Environmental Science and Engineering, School of Environmental Science and Engineering, Suzhou University of Science and Technology, Suzhou, 215009, China. Electronic address: zjuwxd@163.com.
Publikováno v:
Biosensors & bioelectronics [Biosens Bioelectron] 2024 Sep 01; Vol. 259, pp. 116415. Date of Electronic Publication: 2024 May 21.
Autor:
De Bie, H., De Schepper, N.
We introduce the so-called Clifford-Gegenbauer polynomials in the framework of Dunkl operators, as well on the unit ball B(1), as on the Euclidean space $R^m$. In both cases we obtain several properties of these polynomials, such as a Rodrigues formu
Externí odkaz:
http://arxiv.org/abs/1003.1512
Autor:
De Bie, H., Xu, Y.
For functions that take values in the Clifford algebra, we study the Clifford-Fourier transform on $R^m$ defined with a kernel function $K(x,y) := e^{\frac{i \pi}{2} \Gamma_{y}}e^{-i }$, replacing the kernel $e^{i }$ of the ordinary Fourier
Externí odkaz:
http://arxiv.org/abs/1003.0689
In this paper, a family of radial deformations of the realization of the Lie superalgebra osp(1|2) in the theory of Dunkl operators is obtained. This leads to a Dirac operator depending on 3 parameters. Several function theoretical aspects of this op
Externí odkaz:
http://arxiv.org/abs/0911.4725
Publikováno v:
J. Phys. A: Math. Theor. 42 (2009) 395206.
In this paper, a new class of Cauchy integral formulae in superspace is obtained, using formal expansions of distributions. This allows to solve five open problems in the study of harmonic and Clifford analysis in superspace.
Externí odkaz:
http://arxiv.org/abs/0909.2544