Plemelj Formula for Cauchy Type Integral on Certain Distinguished Boundary in Universal Clifford Analysis

被引：3
|
作者：
XU Na
机构：
来源：
Wuhan University Journal of Natural Sciences | 2007年 / 03期
基金：
中国国家自然科学基金;
关键词：
universal Clifford analysis; Cauchy type integral; Plemelj formula;
D O I：
暂无
中图分类号：
O175.5 [积分方程];
学科分类号：
摘要：
Under the foundation of Cauchy integral formula on certain distinguished boundary for functions with values in universal Clifford algebra,we define the Cauchy type integral with values in a universal Clifford algebra,obtain its Cauchy principal value and Plemelj formula on certain distinguished boundary.
引用
收藏
页码：385 / 390
页数：6
相关论文
共 50 条
  • [21] BOUNDARY BEHAVIOR OF CAUCHY-TYPE INTEGRALS IN CLIFFORD ANALYSIS
    杜金元
    许娜
    张忠祥
    Acta Mathematica Scientia, 2009, 29 (01) : 210 - 224
  • [22] On Cauchy-Pompeiu formula for functions with values in a universal Clifford algebra
    Begehr, H
    Zhang, ZX
    Du, JY
    ACTA MATHEMATICA SCIENTIA, 2003, 23 (01) : 95 - 103
  • [23] ON CAUCHY-POMPEIU FORMULA FOR FUNCTIONS WITH VALUES IN A UNIVERSAL CLIFFORD ALGEBRA
    Heinrich Begehr
    张忠祥
    杜金元
    Acta Mathematica Scientia, 2003, (01) : 95 - 103
  • [24] Cauchy type integrals and a boundary value problem in a complex Clifford analysis
    Cao, Nanbin
    Li, Zunfeng
    Yang, Heju
    Qiao, Yuying
    ACTA MATHEMATICA SCIENTIA, 2024, 44 (01) : 369 - 385
  • [25] CAUCHY TYPE INTEGRALS AND A BOUNDARY VALUE PROBLEM IN A COMPLEX CLIFFORD ANALYSIS
    曹南斌
    李尊凤
    杨贺菊
    乔玉英
    Acta Mathematica Scientia, 2024, 44 (01) : 369 - 385
  • [26] Cauchy type integrals and a boundary value problem in a complex Clifford analysis
    Nanbin Cao
    Zunfeng Li
    Heju Yang
    Yuying Qiao
    Acta Mathematica Scientia, 2024, 44 : 369 - 385
  • [27] Boundary properties of hypergenic-Cauchy type integrals in Clifford analysis
    Xie, Yonghong
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2014, 59 (05) : 599 - 615
  • [28] Boundary value formula for the Cauchy integral on elliptic curve
    Mukhiddin I. Muminov
    A. H. M. Murid
    Journal of Pseudo-Differential Operators and Applications, 2018, 9 : 837 - 851
  • [29] Boundary value formula for the Cauchy integral on elliptic curve
    Muminov, Mukhiddin I.
    Murid, A. H. M.
    JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2018, 9 (04) : 837 - 851
  • [30] Cauchy Integral Formulae in Quaternionic Hermitean Clifford Analysis
    Abreu-Blaya, Ricardo
    Bory-Reyes, Juan
    Brackx, Fred
    De Schepper, Hennie
    Sommen, Frank
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2012, 6 (05) : 971 - 985
12345