The Hilbert Boundary Value Problem for 2-monogenic functions in the unit ball

被引:0
|
作者
Si Zhongwei [1 ]
机构
[1] Leshan Normal Univ, Sch Math & Informat Sci, Leshan 614004, Peoples R China
关键词
Hilbert Boundary Value Problem; 2-monogenic function; the unit ball;
D O I
10.1109/CIS.2013.175
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
R-0,R-n be the real Clifford algebra generated by vectors e(i) for i = 1, 2, ..., n, where e(i)(2) = -1 and e(i)e(j) + e(j)e(i) = 0 if i not equal j, i, j = 1, 2, ..., n. e(0) is the unit element. In this article, the Hilbert Boundary Value Problem for 2-monogenic functions in the unit ball is investigated.
引用
收藏
页码:803 / 806
页数:4
相关论文
共 50 条
  • [21] Hilbert boundary value problem in the theory of plates
    Bresar, F
    Kutnjak, M
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2000, 80 : S377 - S378
  • [22] ON HILBERT BOUNDARY VALUE PROBLEM FOR BELTRAMI EQUATION
    Gutlyanskii, Vladimir
    Ryazanov, Vladimir
    Yakubov, Eduard
    Yefimushkin, Artyem
    ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2020, 45 : 957 - 973
  • [23] Reduction of a Schwartz-type boundary value problem for biharmonic monogenic functions to Fredholm integral equations
    Gryshchuk, Serhii V.
    Plaksa, Sergiy A.
    OPEN MATHEMATICS, 2017, 15 : 374 - 381
  • [24] Riemann-Hilbert Problems for Monogenic Functions on Upper Half Ball of R4
    Ku, Min
    Wang, Ying
    He, Fuli
    Kahler, Uwe
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2017, 27 (03) : 2493 - 2508
  • [25] Boundary Traces of Holomorphic Functions on the Unit Ball in Cn
    Gryc, William E.
    COMPUTATIONAL METHODS AND FUNCTION THEORY, 2024,
  • [26] Boundary Value Problems for the Biharmonic Operator in the Unit Ball
    Popivanov, Petar
    SIXTH INTERNATIONAL CONFERENCE NEW TRENDS IN THE APPLICATIONS OF DIFFERENTIAL EQUATIONS IN SCIENCES (NTADES 2019), 2019, 2159
  • [27] A free boundary isometric embedding problem in the unit ball
    Thomas Koerber
    Calculus of Variations and Partial Differential Equations, 2022, 61
  • [28] THE HILBERT BOUNDARY PROBLEM OF DOUBLY PERIODIC ANALYTIC FUNCTIONS
    路见可
    Chinese Annals of Mathematics, 1988, (01) : 38 - 49
  • [29] Solution to the Khavinson Problem Near the Boundary of the Unit Ball
    Markovic, Marijan
    CONSTRUCTIVE APPROXIMATION, 2017, 45 (02) : 243 - 271
  • [30] Solution to the Khavinson Problem Near the Boundary of the Unit Ball
    Marijan Marković
    Constructive Approximation, 2017, 45 : 243 - 271