Integral representations for hyperbolic harmonic function in the clifford algebra Cln+1,0

被引：0

作者：

Bian, Xiaoli ^{[1
]}

Chai, Xiaoke ^{[1
]}

Wang, Haiyan ^{[1
]}

Liu, Hua ^{[1
]}

机构：

[1] Tianjin Univ Technol & Educ, Sch Sci, Tianjin, Peoples R China

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2023年 / 68卷 / 05期

关键词：

Hypergenic function; Dirac operator; hyperbolic harmonic function; BOUNDARY-VALUE PROBLEM; HYPERMONOGENIC FUNCTIONS; FORMULA;

D O I：

10.1080/17476933.2021.2018422

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main goal of this paper is to give the basic principles of hyperbolic function theory. First, we discuss the Green identity for (H) over bar H-k(k). Second, we also deal with the integral representations for hyperbolic harmonic function in the Clifford algebra Cl-n+1,Cl-0.

引用

页码：732 / 745

页数：14

共 6 条

[1] Hyperbolic Function Theory in the Clifford Algebra Cln+1,0
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ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2009, 19 (02) : 283 - 301
[2] Real Clifford Algebra Cln,0, n=2, 3(mod 4) Wavelet Transform
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[3] Wigner-Ville Distribution Associated with Clifford Geometric Algebra Cln,0, n=3(mod 4) Based on Clifford-Fourier Transform
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[4] Radiation Conditions and Integral Representations for Clifford Algebra-Valued Null-Solutions of the Helmholtz Operator
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Mitrea I.
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[5] MATRIX ELEMENTS FOR IRREDUCIBLE REPRESENTATIONS OF U(6,6) ALGEBRA IN HARMONIC FUNCTION SPACE
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JOURNAL OF MATHEMATICAL PHYSICS, 1967, 8 (08) : 1571 - +
[6] Hyperbolic Function Theory in the Clifford Algebra \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal {C}}\ell_{n+1, 0}$$\end{document}
Sirkka-Liisa Eriksson
Heikki Orelma
Advances in Applied Clifford Algebras, 2009, 19 (2) : 283 - 301

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