A Full Symmetry for Basic Differential Operators in Hermitean Clifford Analysis

被引：0
|
作者：
Vlasakova, Zuzana [1 ]
机构：
[1] Charles Univ Prague, Fac Math & Phys, CR-11636 Prague 1, Czech Republic
来源：
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2 | 2009年 / 1168卷
关键词：
CR geometry; invariant operators; Hermitean Clifford analysis;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We first review some facts on parabolic geometries and Weyl structures. Using this framework, we introduce CR geometry, basic differential operators on CR manifolds and we study their relation to basic differential operators in Hermitian Clifford analysis.
引用
收藏
页码：813 / 816
页数：4
相关论文
共 50 条
  • [21] On Cauchy and Martinelli-Bochner integral formulae in Hermitean Clifford analysis
    Brackx, F.
    De Knock, B.
    De Schepper, H.
    Sommen, F.
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2009, 40 (03): : 395 - 416
  • [22] An Algebraic Remark on Clifford Algebras and Differential Operators
    Trovon, Alexandre
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2010, 20 (3-4) : 951 - 958
  • [23] An Algebraic Remark on Clifford Algebras and Differential Operators
    Alexandre Trovon
    Advances in Applied Clifford Algebras, 2010, 20 : 951 - 958
  • [24] Invariant operators and clifford analysis
    Vladimír Souček
    Advances in Applied Clifford Algebras, 2001, 11 (Suppl 1) : 37 - 52
  • [25] Gel'fand-Tsetlin bases of orthogonal polynomials in Hermitean Clifford analysis
    Brackx, F.
    De Schepper, H.
    Lavicka, R.
    Soucek, V.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2011, 34 (17) : 2167 - 2180
  • [26] Symmetry on rings of differential operators
    Quinlan-Gallego, Eamon
    JOURNAL OF ALGEBRA, 2021, 586 : 787 - 807
  • [27] Differential Symmetry Breaking Operators
    Kobayashi, Toshiyuki
    Speh, Birgit
    SYMMETRY BREAKING FOR REPRESENTATIONS OF RANK ONE ORTHOGONAL GROUPS II, 2018, 2234 : 97 - 109
  • [28] Gel'fand-Tsetlin Procedure for the Construction of Orthogonal Bases in Hermitean Clifford Analysis
    Brackx, Fred
    De Schepper, Hennie
    Lavicka, Roman
    Soucek, Vladimir
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III, 2010, 1281 : 1508 - +
  • [29] On Operators and Elementary Functions in Clifford Analysis
    Sproessig, W.
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 1999, 18 (02): : 349 - 360
  • [30] Discrete Dirac Operators in Clifford Analysis
    Nelson Faustino
    Uwe Kähler
    Frank Sommen
    Advances in Applied Clifford Algebras, 2007, 17 : 451 - 467
12345